Difference between revisions of "Jadhav Prime Quadratic Theorem"

(Theorem)
(Historical Note)
Line 1: Line 1:
 
In Mathematics, '''Jadhav's Prime Quadratic Theorem''' is based on [[Algebra]] and [[Number Theory]]. Discovered by an Indian Mathematician [[Jyotiraditya Jadhav]]. Stating a condition over the value of <math>x</math> in the [[quadratic equation]]  <math>ax^2+bx+c</math>.
 
In Mathematics, '''Jadhav's Prime Quadratic Theorem''' is based on [[Algebra]] and [[Number Theory]]. Discovered by an Indian Mathematician [[Jyotiraditya Jadhav]]. Stating a condition over the value of <math>x</math> in the [[quadratic equation]]  <math>ax^2+bx+c</math>.
 
== Historical Note ==
 
[[Jyotiraditya Jadhav]] is a school student and is always curious about [https://www.ck12.org/book/ck-12-middle-school-math-concepts-grade-7/section/1.2 numerical patterns] which fall under the branch of [[Number Theory]]. He formulated many [https://en.wikipedia.org/wiki/Arithmetic arithmetic based equations] before too like [[Jadhav Theorem]], [[Jadhav Triads]], [[Jadhav Arithmetic Merging Equation]] and many more. While he was solving a question relating to [[quadratic equation]]s he found out this numerical pattern and organized the [[theorem]] over it.
 
  
 
== Proof ==
 
== Proof ==

Revision as of 12:31, 27 February 2025

In Mathematics, Jadhav's Prime Quadratic Theorem is based on Algebra and Number Theory. Discovered by an Indian Mathematician Jyotiraditya Jadhav. Stating a condition over the value of $x$ in the quadratic equation $ax^2+bx+c$.

Proof

Now let us take $\frac{ax^2+bx+c}{x}$ written as $\frac{x[ax+b]+c}{x}$

To cancel out $x$ from the denominator we need $x$ in numerator and to take $x$ as common from whole quadratic equation we need to have $c$ as a composite number made up as prime-factors with at least one factor as $x$ or in other words $c$ should be a multiple of $x$ and hence telling us $x$ should at least be a prime factor, composite divisor or 1 to give the answer as an Integer.

Hence Proving Jadhav Prime Quadratic Theorem.

Original Research paper can be found here on Issuu

This article has been proposed for deletion. The reason given is: lacks notability

Sysops: Before deleting this article, please check the article discussion pages and history.