Difference between revisions of "Jadhav Quadratic Formula"
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| − | The '''Jadhav Quadratic Formula''' finds all values of <math>x</math> for a given value of <math>y</math> in any [[quadratic equation]] <math>ax^2+bx+c</math>. It is named after | + | The '''Jadhav Quadratic Formula''' finds all values of <math>x</math> for a given value of <math>y</math> in any [[quadratic equation]] <math>ax^2+bx+c</math>. It is named after [[Jyotiraditya Jadhav]]. |
== Statement == | == Statement == | ||
Latest revision as of 14:24, 16 May 2025
The Jadhav Quadratic Formula finds all values of 
for a given value of 
in any quadratic equation 
. It is named after Jyotiraditya Jadhav.
Statement
For any given value of in quadratic equation 
, we can find its respective values for
![\[x = \frac{-b \pm \sqrt{b^2-4a(c-y)}}{2a}\]](http://latex.artofproblemsolving.com/c/2/b/c2bd337b7c8987c2fb4fa9e42598473940edf6aa.png)
Derivation
We have the quadratic equation 
, which can be rewritten as 
. From the quadratic formula, we have 
, as desired.
See Also
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