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how to get a quadratic equation from the roots. The root of a quadratic equation Ax 2 Bx C 0 is the value of x which solves the equation. Ax2 squared bx c 0 is the general form for any quadratic equation.
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That is x 2 - sum of rootsx product of roots 0. A x 2 b x c a x r x s 0 displaystyle ax 2bxca x-r x-s0 where r and s are the solutions for x. You need to take the numbers the represent a b and c and insert them into the equation.
The example below illustrates how this formula applies to the quadratic equation x 2 5 x 6.
The standard form of a quadratic equation is ax2bxc0. If a and v are the two roots of a quadratic equation then the formula to construct the quadratic equation is x 2 - a vx a v 0. This is an easy method that anyone can use. If the discriminant is greater than 0 the roots are real and different.
