Unsolvable Pythagorean Triple: Investigating a^2 + 2(b^2) = c^2

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SUMMARY

The equation a2 + 2(b2) = c2 has been established as having no positive integer solutions. The example provided, where a=1, b=2, and c=3, demonstrates that this specific case does not satisfy the equation. This confirms the assertion that the relation does not yield any valid Pythagorean triples.

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Werg22
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The relation;

a^2 + 2(b^2) = c^2

where a, b and c are positive integrer has no solution?
 
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Try a=1, b=2, c=3. I think that will answer your question.
 
Thank you!
 

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