Prove the equation 2x^2 + y^2 = 14 has no positive integer solutions.

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asked Apr 6, 2017 76.3k views

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Zappa · Answer 1 · 2017-04-11T22:46:53+0000

Solving for y, y=±14−2x2−−−−−−−√ for y to be a positive integer, (14-2x^2) must be a perfect square. Any positive integer values chosen for x will not yield a perfect square

Prove the equation 2x^2 + y^2 = 14 has no positive integer solutions.

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