- #1

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## Homework Statement

in order to factorize 20 on the rings of [tex] Q( \sqrt 2) [/tex] i must solve

## Homework Equations

[tex] x^{2} -2y^{2}=10 [/tex]

## The Attempt at a Solution

i do not know how to solve it, i have tried by brute force with calculator but can not get any response , the given hint is that [tex] x^{2} -2y^{2}=5 [/tex] has no solution.