Jadhav Quadratic Formula

The Jadhav Quadratic Formula finds all values of $x$ for a given value of $y$ in any quadratic equation $ax^2+bx+c$ . It is named after Jyotiraditya Jadhav.

Statement

For any given value of $y$ in quadratic equation $y=ax^2+bx+c$ , we can find its respective values for $x$

$x = \frac{-b \pm \sqrt{b^2-4a(c-y)}}{2a}$

Derivation

We have the quadratic equation $y = ax^2+bx+c$ , which can be rewritten as $ax^2+bx+(c-y) = 0$ . From the quadratic formula, we have $x = \frac{-b \pm \sqrt{b^2-4a(c-y)}}{2a}$ , as desired.

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Jadhav Quadratic Formula

Statement

Derivation

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