perplexus.info :: Just Math : Exploring Coprime Roots in Quadratic Equations

Exploring Coprime Roots in Quadratic Equations (Posted on 2024-04-09)

For how many natural numbers n<45² are there coprime natural numbers a and b such that 45-√n is the root of the equation x²-ax+b=0?

No Solution Yet Submitted by Danish Ahmed Khan

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"the root" or "a root" ?

| Comment 1 of 7

Is 45 - √n meant to be one of two roots or is it the only root, i.e. a doubled root?

Posted by Larry on 2024-04-09 12:33:03

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