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If a+ib = (x+i)^(2)/(2x^(2)+1), prove th...

If `a+ib = (x+i)^(2)/(2x^(2)+1)`, prove that `a^(2) + b^(2) = (x^(2)+1)^(2)/(2x^(2) + 1)^(2)`

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