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Does equation $xy(x+y)(x-y)=10z^2$ have nonzero integer solutions?

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let $ab$ be A two-digit number such that $ab=8(a+b)$ then what is $ab$

Published on 14 Apr 2026 - 2:43

List Question

Prove that the equation has no integer solutions

Solve over integers: $x(x+1) = 2y(y+1)$

Solve the equations $(n+1)^n=2n^k+3n+1$

Exercise on elementary number theory

Generalizing the Pell equation $x^2-9\times89y^2 = 1$?

Explanation of this solution involving Linear Diophantine Equations

Question about difference of powers related to FLT

Career advice in Math and Physics

Mordell-Weil for Abelian Varieties and Jacobian of Curves

Does equation $xy(x+y)(x-y)=10z^2$ have nonzero integer solutions?

How can I solve $\frac{xy}{3} =3$ in $\mathbb{Z}_{5}$?

Gauss's method of exclusions?

Partial proof of first case of Fermat's Last Theorem

Proving that the range of a real root of a parametric third degree polynomial is the whole real line minus a finite set of points?

let $ab$ be A two-digit number such that $ab=8(a+b)$ then what is $ab$

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