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Mathematics
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individ
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View all questions and answers
12
If $n = a^2 + b^2 + c^2$ for positive integers $a$, $b$,$c$, show that there exist positive integers $x$, $y$, $z$ such that $n^2 = x^2 + y^2 + z^2$.
Apr 6, 2016
10
Find a solution: $3(x^2+y^2+z^2)=10(xy+yz+zx)$
Feb 5, 2015
8
How to find all rational solutions of $\ x^2 + 3y^2 = 7 $?
May 20, 2018
7
$x^2+y^2=2z^2$, positive integer solutions
May 2, 2016
6
Find all integers satisfying $m^2=n_1^2+n_1n_2+n_2^2$
Jun 1, 2014
6
Integer solutions for $\frac{1}{x^2}+\frac{1}{y^2}=\frac{1}{z^2}$?
Feb 1, 2016
5
Solutions to $ax^2 + by^2 = cz^2$
Apr 3, 2014
5
When is the sum of two squares the sum of two cubes
Jun 30, 2014
5
Find a solution: $3(x^2+y^2+z^2)=10(xy+yz+zx)$
Feb 5, 2015
4
The diophantine equation $a^2+ab-b^2=0$
Sep 5, 2014