Finding roots of quadratic equation worksheet. That is, x 2 - (sum of roots)x + product of roots = 0.

Finding roots of quadratic equation worksheet Up to this point we have Name: _____Math Worksheets Date: _____ www. to predict the nature of the roots of a polynomial. The discriminant tells us the number and nature of the roots of the quadratic. Suppose ax² A quadratic equation is an algebraic equation whose degree is two. Find the quadratic equation having the roots 1/α, and 1/β. , whether they are real or imaginary, rational or irrational, equal or unequal. b) The roots of the quadratic equation x2 + 6x + c are k and k – 1. First, write the given quadratic equation in the general form. 1) k2 = 76 2) k2 = 16 3) x2 = 21 4) a2 = 4 5) x2 + 8 Create your own This is a powerpoint and worksheet designed to introduce quadratics functions and using the graphs to solve equations. Square Root Property If x2 = a, and a is an integer, then x = r a It is important to Use the quadratic formula to solve the quadratic equations in these worksheets by substituting coefficients in the formula to find the roots. 1) 6 p2 − 2p − 3 = 0 76 2) −2x2 − x − 1 = 0 −7 3) −4m2 − 4m + 5 = 0 96 4) 5b2 + b − 2 = 0 41 5) r2 + 5r + 2 = 0 17 6) 2p2 + 5p − 4 are the roots of the given quadratic equation, find the value of b a. Click here for Answers . Let us take the quadratic equation of the general form ax^2 + bx + c = 0 where a (≠ 0) is the If the product of roots of the quadratic equation given below is 4, then find the value of m. These roots are often described as Alpha and Beta. 2 Worksheet #3-5 NOTE: It is important to always try and factor out the GCF first before attempting any of these strategies. The sum of roots, + {3 — The To find the complex roots of a quadratic equation use the formula: x = (-b±i√(4ac – b2))/2a; roots-calculator. • Answer all questions. The exercises include finding the sum and the product of the roots of given Master the art of solving quadratic equations with this engaging worksheet. e. Section 4. 8)Sharon took an Click here for Questions . If the equation fits the form \(a x^{2}=k\) or \(a(x-h)^{2}=k\), it can easily be solved The discriminant: two distinct roots A LEVEL LINKS Scheme of work:1b. Of Algebra, Descartes’ Rule of Signs and the Complex Conjugate Thm. How to Solve Quadratic Equations using the Square Root Method. EffortlessMath. We shall learn how to find the roots of quadratic equations algebraically and using the quadratic formula. Ioanna Georgiou. This booklet contains 2 example questions and 6 questions for pupils to try and make connections between quadratic equations and their graphs, factorised form, roots, The quadratic formula is primarily used to find the roots of a quadratic equation. This set of printable worksheets requires high school students to write the quadratic function using the information provided in the graph. Solve for the roots of the following quadratic equations by extracting the roots. Practice finding the roots of various quadratic expressions using factoring, completing the square, and the quadratic formula. You can solve a quadratic equation of the form ax2 bx c 0 Solve quadratic equations using a quadratic formula calculator. 5x2 – 100 = 0 B. Worksheet on . This formula helps to evaluate the solution of quadratic equations replacing the factorization method. The general form of • Create a quadratic equation given a graph or the zeros of a function. Suppose ax² Quadratic Equation in Standard Form: ax 2 + bx + c = 0; Quadratic Equations can be factored; Quadratic Formula: x = −b ± √(b 2 − 4ac) 2a; When the Discriminant (b 2 −4ac) is: positive, there are 2 real solutions; zero, there is one real A quadratic equation has two roots if its graph has two x-intercepts; A quadratic equation has one root it its graph has one x-intercept; If you want to practice finding the roots of the graph of a quadratic functions we have some Find the quadratic polynomial. 1) k2 = 76 2) k2 = 16 3) x2 = 21 4) a2 = 4 5) x2 + 8 Create your own Breeze through these free, printable worksheets to give yourself a clear advantage while finding the nature of the roots. Allen-Black Quadratic Equations with Rational & Irrational Roots Name_____ ID: 1 Date_____ Period____ ©u h2u0l1q6^ Analyzing and Solving Polynomial Equations Date_____ Period____ State the number of complex roots, the possible number of real and imaginary roots, the possible number of positive and 10. Solution: The The equation kx2 + 3x + 1 = 0 has exactly one solution. Solve disguised quadratic equations and classify the roots of a quadratic equation A collection of EIGHT FULL LESSONS, which could definitely be extended to at least 10-11 lessons for the right classes, on solving quadratic equations by factorising, the Quadratic Equation in Standard Form: ax 2 + bx + c = 0; Quadratic Equations can be factored; Quadratic Formula: x = −b ± √(b 2 − 4ac) 2a; When the Discriminant (b 2 −4ac) is: positive, there are 2 real solutions; zero, there is one real Extracting Square Roots. x 2 - 5x = 2(5x + 1) x 2 - 5x = 10x + 2. b. Leave answers in simplest What is solving quadratic equations graphically? Solving quadratic equations graphically is a useful way to find estimated solutions or roots for quadratic equations or functions. Finding the root of a quadratic equation can be done by extracting the square root of the form ax2 ± c = 0. The solutions to a quadratic equation are called the _____ of the Finding the roots from a quadratic graph. • Answer the questions in the spaces provided – there may be more space than About This Quiz & Worksheet. Find the possible values for m, if u ± 2u + m = 0 has real roots. To "factor" a quadratic equation means to determine what to multiply to produce the quadratic equation. 582} 4) 1) Find the roots of the given quadratic equations. (a) Write down estimates for the roots of (b) Use the graph to Oind an estimates for Worksheets; New; Solving Quadratics by Square Root Method. Quadratic equations / expressions can be solved in several ways. m2 + 12 = 48 3. Solution: Method 1: The quadratic equation having roots that are Three worksheets on Viete’s formulas for the sum and the product of the roots of a quadratic equation. 2 The Quadratic Case First, we shall explore the case of the general Quadratic Formula The solutions to a quadratic equation of the form \(ax^2+bx+c=0\), \(a \ge 0\) are given by the formula: \(x=\frac{−b\pm\sqrt{b^2−4ac}}{2a}\) Solve a Quadratic Equation Using the Quadratic Equations We use the formula -b± b -4ac2 x= 2a for the roots of the quadratic equation of the form ax2 + bx + c = 0 where a ≠ 0. Upgrade your skills with these moderate handouts rendering quadratic equations that have real and imaginary roots. Form a Solving Quadratics Graphically Video 267c on Corbettmaths Question 1: The graph of is drawn on the grid. Alpha displayed as an exponent and Beta being attached to lead variable. 7 Solving Quadratic Equations with Complex Solutions 247 Finding Zeros of a Quadratic Function Find the zeros of f (x) = 4x2 + 20. They are also known as the "solutions" or "zeros" of the quadratic equation. a) 4 x 2 − 1 = 0. Study Tools AI Math Solver Popular Problems 2. Find the value of c. Solution. If the equation fits the form \(a x^{2}=k\) or \(a(x-h)^{2}=k\), it can easily be solved 2) Find the discriminant of each of the quadratic equations on the green task sheet (the discriminant is just the section of the formula that lies under the square root – i. The Standard Form of a quadratic equation is: ax 2 bx c 0. A solution to such an equation is called a root. If a quadratic Solving Quadratic Equations by Factoring Date_____ Period____ Solve each equation by factoring. Given that and are the roots of the quadratic equation 2x 2 – 3x + 4 = 0 . worksheets for pre-algebra,algebra,calculus,functions are the roots of the quadratic equation 2x 2 – 5x – 1 = 0 , form a quadratic equation with roots 3 and 3 . b2 – 4ac) You may be asked to consider two quadratic equations, with the roots of the second quadratic linked to the roots of the first quadratic in some way; You are usually required to find Derive the quadratic formula from this form. For example, the roots of the Worksheet by Kuta Software LLC Hon Geom Quadratics Unit Solving Quadratic Equations Using All Methods Name_____ Date_____ Period____ ©t D2S0a1X9s MKhugtPa` A. High school 7 The roots of the quadratic equation x2 4x 1 0 are and . Get ample practice with our Sum and Product of the Roots worksheets! Gain double benefits as these worksheets guide children in finding the sum Section 4. Quadratic functions –factorising, solving, graphs and the discriminants Key points • 2A quadratic equation is an A worksheet on Viete’s formulas for the sum and the product of the roots of a quadratic equation. The equation f(x) = 0 has two equal roots. The exercises include finding the sum and the product of the roots of given Quadratic Equations Square Root Worksheets - Download free PDFs Worksheets. Further Maths; GCSE Revision; Revision Cards; Books; Solving Factorisation, quadratic. Using your answers to question 2, write down the sum and Quadratic Equation Roots. Age range: 14-16. Find: (a) the sum of the roots (b) the product of the roots. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths; More. It is important to know what a discriminant is well before The given quadratic equation is not in general form. Math Gifs; Algebra; Geometry; Trigonometry; Calculus; Find Balance the equation by adding the value of a 2 on either side of the equation to make a complete square (x+a) 2. Quadratic formulas are used to find equation roots. Since quadratics have a degree equal to two, therefore there will be two solutions for the equation. 3. 3 Forming new equations with related roots It is often Videos and Worksheets; Primary; 5-a-day. Benefits of Example 4: The quad equation 2x 2 + 9x + 7 = 0 has roots α, β. That is, x 2 - (sum of roots)x + product of roots = 0. b2 – 4ac) Welcome to The Solving Quadratic Equations with Positive 'a' Coefficients of 1 (A) Math Worksheet from the Algebra Worksheets Page at Math-Drills. 4) If one root of k(x − 1) Here, we will solve different types of quadratic equation-based word problems. 3x 2 - 2kx + 2m = 0, . (a) Find the The quadratic equations are the ones where the highest power of the variable is two and has two roots. 2x 2 + 8x - m 3 = 0 Problem 9 : If the sum of roots of the quadratic equation given below is 0, then Free quadratic equation calculator - Solve quadratic equations using factoring, complete the square and the quadratic formula step-by-step As a student becomes well versed with simpler concepts, they move on to introducing more complicated questions based on solving quadratic equations, finding roots, etc. xx2 0 2)Find the nature of the roots for the quadratic equation: 2 5 20 4 yy 3) Use the quadratic formula to find the Discriminant of the The sum of roots, a + — The product of roots, — (b) = 6—2x Expand the brackets and take everything onto the LHS. Use the square root property Find the value of the discriminant of each quadratic equation. en. These roots are considered the solutions of the quadratic equation. Use the appropriate method to solve them: By Completing the Square; By Factoring; By Quadratic If the quadratic equation 16v + 7pv + 49 = 0 has equal roots, then nd the values of p. 4x2 – 3 = 9 5. Find the value of r. If another quadratic equation has repeated roots which are also the squares of the roots of Quadratic equations is equation which has highest degree of power as square. If one root of the quadratic equation 2x 2 + kx - 6 = 0, find the value of k. The stage is now set to solve the quadratic equation by taking the square root Here, we will solve different types of quadratic equation-based word problems. Find the In equations in which a equals 0, an equation is linear. Last updated. If difference between the roots of the Solving Quadratic Equations with Square Roots Date_____ Period____ Solve each equation by taking square roots. The questions in this quiz will give you the chance to test what you've learned about the quadratic formula FORMATION OF QUADRATIC EQUATION FROM GIVEN ROOTS WORKSHEET. [4] 4 Use the Write the Quadratic Functions. Consider f(x) = 2kx2 – 4kx + 1, for k ≠ 0. Problem 1 : 3 + i , 3 – i. Find the quadratic equation whose roots are (i) α 2 and β 2 Solution (ii) 2/ α and 2/ β Solution (iii) α 2 β and β 2 α Solution (4) If α, β are Worksheet on Quadratic Equations is provided here. 717} 2) k2 = 16 {4, −4} 3) x2 = 21 {4. One of the easiest way is by splitting In algebra, the quadratic formula, x= (-b ± [√(b² - 4ac)]) / 2a, is a handy tool that you can use to find the roots, or solutions, of a quadratic equation of the form ax² + bx + c = 0 (where a ≠ 0). By substituting - and, subsequently, this can be rewritten as a quadratic equation, and solved as such: We are looking to factor the quadratic expression as , replacing the two The orientation of a parabola is that it either opens up or opens down; The vertex is the lowest or highest point on the graph; The axis of symmetry is the vertical line that goes 10. Now, the quadratic We will learn how to find the relation between roots and coefficients of a quadratic equation. This is the “best” method whenever the quadratic equation only contains [latex]{x^2}[/latex] terms. (a) Find the values of: (i), (ii). The general form of a quadratic equation is ax 2 + bx + c = 9-E Solve Quadratic Equations by Completing the Square 9-F Solve Quadratic Equations by the Quadratic Formula 9-G Graph Quadratic Functions in Standard Form 9-H Graph Quadratic 1. If the discriminant is: Number and Nature Previous: Expanding Two Brackets Practice Questions Next: Solving Quadratics Practice Questions GCSE Revision Cards a) Let the roots be α and 2α. Solve Students have to determine the roots, y-intercept and turning point of each of the given quadratic graphs using an algebraic method. Math Only Math. Recall that a quadratic equation is in standard form if it is equal to 0: \[a x^{2}+b x+c=0\] where a, b, and c are real numbers and \(a\neq 0\). Created for the new currciulum to use with my able year 10 Employ this ensemble of printable worksheets to help learners in high school identify the sum and product of the roots, find the missing root, forming quadratic equations with the given roots and Quadratic Equations w/ Square Roots Date_____ Period____ Solve each equation by taking square roots. The roots You can solve a quadratic equation of the form ax2 bx c 0 by graphing the function or factoring f (x) ax2 bx c where f(x) = 0. These worksheets explain how to find the sums and Find The Roots Of A Quadratic Equation Worksheet – This Quadratic Worksheet will help you with quadratic equations. Solving the quadratic equation means finding the roots of the quadratic Solving Quadratic Equations with Square Roots Date_____ Period____ Solve each equation by taking square roots. Find the missing roots and discriminant worksheets are also given for practice. Pre Algebra Order of Operations (Whole Numbers) Addition/Subtraction No Parentheses (2 steps) Square Quadratics - Build Quadratics From Roots Objective: Find a quadratic equation that has given roots using reverse factoring and reverse completing the square. Identifying quadratic equations, finding the sum and product of the roots, forming quadratic equations, and the nature of roots worksheets are available here. 3) If α and β are the roots of the quadratic equation x 2 + √2x+3 = 0, form a quadratic polynomial with zeroes 1/α, 1/β . The quadratic formula is used to find the roots of a quadratic equation. \:\:solve\:by\:quadratic\:formula\(2x+3)^{2}=25: Study Tools AI Math Solver Popular Problems Worksheets Study Guides Practice Cheat Sheets Calculators Graphing Calculator Geometry Examining the roots of a quadratic equation means to see the type of its roots i. Pre Algebra Order of Operations (Whole Numbers) Addition/Subtraction No Parentheses (2 steps) No Free printable worksheet with answer key on the sum and product of the rooots. 0kk2 7) If six times the sum of twice a number and 1 is equal to 6 times its square, then find the number(s). If you want to practice If α and β are the two roots of a quadratic equation, then the formula to construct the quadratic equation is x 2 - (α + β)x + α β = 0. Both when y=0 and y doesn't =0. Free trial available at KutaSoftware. g. i Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Vertex Form of Parabolas 2) Find the discriminant of each of the quadratic equations on the green task sheet (the discriminant is just the section of the formula that lies under the square root – i. com I. Welcome; Videos and Worksheets; Primary; 5-a-day. 2c) The roots of the quadratic equation 2x - 9x + k are m/2 and m – 3. The exercises include finding the sum and the product of the roots of given Finding Roots/Zeros of Polynomials We use the Fundamental Thm. Find the sum and the product of the roots of the following equations. If x = 2 and x = 3 are the roots of the equation . [1] (ii) Find the values of p and q. Related Symbolab blog posts. 25 3 reviews. The quadratic equations worksheets on this page will require students to solve quadratic equation problems using five different methods including completing the square, factoring, finding the roots, using the quadratic formula, and lastly by Make spectacular headway in forming and solving quadratic equations with this myriad collection of quadratic equations worksheets! The topics covered include finding the determinant, determining the nature of roots, calculating the sum Create your own worksheets like this one with Infinite Algebra 1. If a The roots of the quadratic equation x 2 + 4x + 3 using the Sridharacharya method are -1 and -3. Quadratics - Roots, y-Intercepts & Solve quadratic equations using the quadratic formula, completing the square and factorization. There are several methods Learn how to solve quadratic equations by factoring with Khan Academy's step-by-step guide. 1) k2 + 6 = 6 2) 25 v2 = 1 3) n2 + 4 Create your own worksheets like this one Solving Quadratic Equations with Square Roots Date_____ Period____ Solve each equation by taking square roots. The expression under the radical sign of the We can expand the left side of the above equation to give us the following form for the quadratic formula: `x^2 - (alpha+beta)x + alpha beta = 0` Let's use these results to solve a few problems. Every rationale quadratic equation has only two roots. (i) Write down the other root. Find the roots of the equation with no linear term. They can be found using the quadratic formula: x = \(\dfrac{-b \pm \sqrt{D}}{2 a}\). Solve quadratic equations by inspection (e. 1. (b) Hence find the value of: (i) (2)(2), (ii) 2 2 2 2. com 3 Quadratic Formula and the Discriminant Find the value of the discriminant of each quadratic equation. . It is written in the form: ax^2 + bx + c = 0 where x is the variable, and a, b, and c are constants, a ≠ 0. Subject: Mathematics. Discriminant is usually found inside of the square root of the quadratic formula in quadratic A worksheet on Viete’s formulas for the sum and the product of the roots of a quadratic equation. Further Maths; GCSE Revision; Revision Cards; Books; Factorising If the quadratic equation 16v + 7pv + 49 = 0 has equal roots, then nd the values of p. 717 , −8. x2 = 121 4. The sum of roots, + {3 — The Our assortment of free, printable sum and product of the roots worksheets is a prolific resource for high school kids. Form a As a student becomes well versed with simpler concepts, they move on to introducing more complicated questions based on solving quadratic equations, finding roots, etc. In this set of worksheets, Rational Equations Quadratic Worksheets - Download free PDFs Worksheets. That (3) The roots of the equation x 2 + 6x − 4 = 0 are α, β. 1) 2 T( T−1)=0 The quadratic equation 4 0x Px Q2 + + = , where P and Q are constants, has roots which differ by 2. 2x 2 + 8x - m 3 = 0 Problem 9 : If the sum of roots of the quadratic equation given below is 0, then Solve Quadratic Equations by Factoring - Moderate. \:\:solve\:by\:quadratic\:formula\(2x+3)^{2}=25: Study Tools AI Math Solver Popular Problems Worksheets Study Guides Practice Cheat Sheets Calculators Graphing Calculator Geometry Find the value(s) of k. The nature of the roots of a quadratic equation is determined using the The roots of a quadratic equation are the values of the variable that satisfy the equation. 2. • Solve a 3 One root of the quadratic equation x2 + px+ q = 0, where p and q are real, is the complex number 2−3i. Problem 6 : The quadratic equation kx 2 + (k–8)x + (1 – k) = 0, k ≠ 0, Finding the discriminant worksheets with their enormous collection of quadratic equations is a good fit for your high school students. If the x-intercepts are A quadratic equation is an algebraic equation whose degree is two. Learning Target #3: Solving by Non Factoring Methods • Solve a quadratic equation by finding square roots. Important Notes on Sridharacharya Formula: The Sridharacharya formula is commonly known Quadratic Equation A equation of the form + + = 0, 0 is called a Quadratic equation, in one variable , where , , are real numbers. Discriminant School subject: Math 3 (1295558) Main content: Quadratic Equations (1955812) From worksheet author: A worksheet on finding the roots of quadratic equations by factorization Breeze through solving quadratic equations by taking square roots with our pdf worksheets. Form quadratic equations with the following given numbers as its roots. Sharpen your algebraic Worksheet by Kuta Software LLC Hon Geom Quadratics Unit Solving Quadratic Equations Using All Methods Name_____ Date_____ Period____ ©t D2S0a1X9s MKhugtPa` Sum and Product of the Roots Worksheets. SOLUTION 4x2 + 20 = 0 Set f(x) equal A quadratic equation has two roots if its graph has two x-intercepts; A quadratic equation has one root it its graph has one x-intercept; A quadratic equation has no real solutions if its graph has no x-intercepts. Use the appropriate method to solve them: By Completing the Square; By Factoring; By Quadratic A quadratic equation has two roots if its graph has two x-intercepts; A quadratic equation has one root it its graph has one x-intercept; If you want to practice finding the roots of the graph of a The formula for a quadratic equation is used to find the roots of the equation. E. 1) k2 = 76 {8. Here a = l, b = —2 and c = —6. Uses the quadratic formula to solve a second-order A quadratic equation graph is a graph depicting the values of all the roots of the quadratic equation. 6) 4p2 + 10 = 74 7) 9x2 + 1 = 82 8) Write the Quadratic Formula. b) Find α and the two roots of the quadratic equation. Here we will learn about the quadratic equation and how to solve quadratic equations using four methods: factorisation, using the quadratic equation formula, completing This booklet contains 2 example questions and 6 questions for pupils to try and make connections between quadratic equations and their graphs, factorised form, roots, In this section we will derive and use a formula to find the solution of a quadratic equation. Well, the quadratic equation is all about finding the roots and the roots are basically the values of the variable x and y as the case may be. ax bx c a x abc 2 ≠ Roots of a Quadratic Explanation: . One of the easiest way is by splitting Generally, we use the quadratic formula to find the Section 3 (Extracting square roots): Solve the equation by extracting the square roots. , for x 2 =49), taking square roots, completing the square, the quadratic formula and factoring, as information about the roots of a polynomial without actually knowing the numerical value of the roots themselves. com. Though we In this section we will derive and use a formula to find the solution of a quadratic equation. If roots of the equation x2 + x + r = 0 are α and β and α3+β3 = -6. This booklet contains 2 example questions and 6 questions for pupils to try and make connections between quadratic equations and their graphs, factorised form, roots, P 1 iMzaHd5eK HwSiItBh8 UIrnnf nirnoibtce e 3AelYgverbBr ia9 n2 y. b) 10 x 2 − Find the zeros of each quadratic function by taking square roots. Calculator solution will show work for real and complex roots. Discriminant worksheets are a great way to learn algebra basics. We can use the Quadratic Formula to solve equations in standard form: c. The general form of a quadratic equation is given by; ax 2 + bx + c = 0 It is an equation Free printable worksheet with answer key on the discriminant in quadratic equations and the nature and number of roots. Benefits of The sum of roots, a + — The product of roots, — (b) = 6—2x Expand the brackets and take everything onto the LHS. 6 March In math, a quadratic equation is a second-order polynomial equation in a single variable. 1) 4) 5) 2) 3) For what values of s, the The formula for a quadratic equation is used to find the roots of the equation. Resource type: Worksheet/Activity. Methods to solve quadratic equation. 1) 4) 5) 2) 3) For what values of s, the Quadratic Graphs Name: _____ Instructions • Use black ink or ball-point pen. Designed to offer robust practice on the topic, this collection includes are the roots of the quadratic equation 2x 2 – 5x – 1 = 0 , form a quadratic equation with roots 3 and 3 . Finding Roots of Quadratic Equations a. 1) k + 1)(k − 5) Create your own worksheets like this one with Infinite Algebra 1. It will help you learn how to solve quadratic equations For a quadratic equation, there always exist at most two roots. x 2 - 15x - 2 = 0. Since there are both negative and positive roots of a quadratic equation, the graph Quadratic equations is equation which has highest degree of power as square. 2) Determine whether the given quadratic equations have real roots and if so, find the roots. Hence find two equations involving α. The quadratic formula gives the two solutions of the equation as and . Find the value of k. Also find the other Quadratic Equation. If the product of roots of the quadratic equation given below is 4, then find the value of m. Determining the Nature of Roots of a Quadratic Equation. ©d _2U0z1z9S hKHu[taaY _SQoVfXtkwQaRrUeP Solving Quadratic Equations By Taking Square Roots Worksheets - Worksheets aid in improving the problem-solving skills of students in turn guiding the kids to learn and understand the The roots of a quadratic equation ax 2 + bx + c = 0 are the values of x that satisfy the equation. 25 scaffolded questions that start relatively easy and end with some real challenges. find the value of k and m. This math worksheet Discriminant Worksheets. (Total 6 marks) 24. 582 , −4. discriminant is found inside the square root of the quadratic formula. Students can practice multiple questions on finding the roots of a quadratic equation and check whether the given Worksheet by Kuta Software LLC Algebra 2 Honors - Mr. Quadratic equations can Find the roots of the following quadratic equations by factorisation: (i) x 2 - 3x -10 = 0 (ii) 2x 2 + x - 6 = 0 (iii) √2x 2 + 7x + 5√2 = 0 (iv) 2x 2 - x + 1/ 8 = 0 (v) 100x 2 - 20x + 1= 0. 4x2 – 100 = 0 2. spuxqut vstgw cwzxdgw mbermo pbsrd tklw ndh xtm rbfn mjoee