How to write a quadratic equation with given roots

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Writing Quadratic Equations given the roots.mov

Use the given point (-1, 3), which says y is 3 for x equal to -1. Substituting for x and y: 3 = a (-1 - 3) 2 - 1 => 3 = a (-4) 2 - 1. Now, simplify and solve for a: 3 = 16 a - 1 => a = (3+1)/16 =

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Formation of Quadratic Equation with Given Roots

Approach: If the roots of a quadratic equation ax2 + bx + c = 0 are A and B then it known that A + B = – b / a and A * B = c * a . Now, ax 2 + bx + c = 0 can be written as x 2 + (b /