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a + b = c

a - b = d

then a = (c + d)/2

and b = (c - d)/2

The fact that c and d are perfect squares is not relevant to solving a and b in terms of c and d.

Furthermore, a complete solution of all four variables into unique numerical values is not possible.

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13y ago
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Q: Can somebody solve the equations a plus b equals c and a-b equals d where a b c and d are perfect square integers?
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