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Finding Roots of Quadratic Equation by Quadratic Formula Find a, b, and c values by comparing the given equation with ax 2 + bx + c = 0. Substitute them in the quadratic formula and simplify.
We shall learn how to find the roots of quadratic equations algebraically and using the quadratic formula. The general form of a quadratic equation is ax 2 + bx + c = 0, where x is the unknown and a, b and c are known quantities such that a ≠ 0.
The roots of a quadratic equation are the two values of x, which are obtained by solving the quadratic equation. These roots of the quadratic equation are also called the zeros of the equation. For example, the roots of the equation x 2 - 3x - 4 = 0 are x = -1 and x = 4 because each of them satisfies the equation. i.e.,
To find the complex roots of a quadratic equation use the formula: x = (-b±i√(4ac – b2))/2a
We use the quadratic formula to find the roots of a quadratic equation. The formula is given as \(\begin{array}{l}x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}\end{array} \)
Solving quadratics by taking square roots (article) | Khan Academy. Google Classroom. Learn how to solve quadratic equations like x^2=36 or (x-2)^2=49. What you should be familiar with before taking this lesson. Square roots. Special products of binomials. What you will learn in this lesson.
Aug 3, 2023 · How to Find the Roots of a Quadratic Equation. We can solve the quadratic equation to find its roots in different ways. Using the Quadratic Formula. As we know α and β are the two roots of the quadratic equation, whose values can be determined using the quadratic formula: (α, β) = $ {\dfrac {-b\pm \sqrt {b^ {2}-4ac}} {2a}}$
