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Revision as of 09:23, 2 February 2025

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 mathematician 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.

See Also

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