List questions from vieta-jumping | MathQA

Bounding $x_{0}$ in solutions to Diophantine equation $\left(\sum_{i=1}^{n} x_{i}\right)^{2} = x_{0}\prod_{i=1}^{n}x_{i}$

Published on 16 Apr 2026 - 12:13

Generalization of $1988$ IMO #6

Published on 15 Apr 2026 - 20:36

If $\frac{x^2+y^2+x+y-1}{xy-1}$ is an integer for positive integers $x$ and $y$, then its value is $7$.

Published on 16 Apr 2026 - 4:27

How can I prove $(k^2 -4)x^2 +4k$ can be a perfect square only if $k$ is a perfect square?

Published on 14 Apr 2026 - 17:40