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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re(2):

| Comment 3 of 7 |

(In reply to re: "the root" or "a root" by K Sengupta)

I haven't tried this puzzle, but can it be attacked both ways?

Posted by Charlie on 2024-04-10 09:20:18

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