Here you will learn what is the relation between roots and coefficients of quadratic equation with examples. Let’s begin – The general form of quadratic equation is \(ax^2 + bx + c\) = 0, a \(\ne\) 0. The root of the given equation can be found by using the formula : x = \(-b \pm \sqrt{b^2 …
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Here you will learn how to find the nature of roots of quadratic equation using discriminant with examples. Let’s begin – Nature of Roots of Quadratic Equation (a) Consider the quadratic equation \(ax^2 + bx + c\) = 0 where a, b, c \(\in\) R & a \(\ne\) 0 , then x = \(-b \pm …
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Here you will learn how to solve quadratic equation using quadratic formula or sridharacharya formula with examples. Let’s begin – Solve Quadratic Equation Using Quadratic Formula (Sridharacharya Formula) For the equation \(ax^2 + bx + c\) = 0, if \(b^2 – 4ac\) \(\ge\) 0, then x = (\(-b + \sqrt{b^2 -4ac}\over 2a\)) and x = …
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Here, you will learn completion of square method and how to solve quadratic equation by completing the square with examples. Let’s begin – Solve Quadratic Equation by Completing the Square Let us consider the equation \(x^2 + 8x + 4\) = 0 If we want to factorize the left hand side of the equation using …
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Here you will learn how to solve quadratic equation by factorisation with examples. Let’s begin – Solve Quadratic Equation by Factorisation Step 1. Splitting of middle term : (i) If the product of a and c = +ac then we have to choose two factors ac whose sum is equal to b. (ii) If the …
Here you will learn how to find solution of quadratic equation of class 10 and different methods used to solve quadratic equation. Let’s begin – Solution of Quadratic Equation Class 10 (a) The general form of quadratic equation is \(ax^2 + bx + c\) = 0, a \(\ne\) 0. The roots or solution of quadratic …
Here you will learn what are the roots of quadratic equation with examples. Let’s begin – Roots of Quadratic Equation If p(x) = 0 is a quadratic equation, then the zeroes of the poynomial p(x) are called the roots of the quadratic equation p(x) = 0. Thus, x = 1 is a root of p(x) …
Here you will learn quadratic equation concepts and what is quadratic equation in standard form. Let’s begin – Quadratic Equation If p(x) is a quadratic polynomial, then p(x) = 0 is called a quadratic equation. For example, \(x^2 + 2x – 8\) = 0, \(x^2 – 5x + 6\) = 0 are quadratic equations. The …
