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

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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