Difference between revisions of "Jadhav Prime Quadratic Theorem"

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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>.
 
== Proof ==
 
Now let us take <math>\frac{ax^2+bx+c}{x} </math> written as <math>\frac{x[ax+b]+c}{x} </math>
 
 
To cancel out <math>x </math> from the denominator we need <math>x </math> in numerator and to take <math>x </math> as common from whole quadratic equation we need to have <math>c </math> as a composite number made up as prime-factors  with at least one factor as <math>x </math> or in other words <math>c </math> should be a multiple of <math>x </math> and hence telling us <math>x </math> 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 [https://issuu.com/jyotiraditya123/docs/jadhav_prime_quadratic_theorem here on Issuu]
 
 
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Revision as of 12:32, 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 $ax^2+bx+c$.