integer solutons

Dec 2008
288
13
find integer solutions, if any exist to 3x^3 + 7y^2 = 2,
thanks for any help
 
Nov 2009
485
184
Take the equation modulo 3.

\(\displaystyle 3x^3+7y^2\equiv y^2\equiv 2\pmod{3}\)

Anything wrong with this?
 
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