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

User Henry Schreiner
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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
User Zappa
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