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If ((a+i)^2)/((2a-i))=p+i q , show that:...

If `((a+i)^2)/((2a-i))=p+i q ,` show that: `p^2+q^2=((a^2+1)^2)/((4a^2+1))` .

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To solve the problem, we need to show that \[ p^2 + q^2 = \frac{(a^2 + 1)^2}{4a^2 + 1} \] given that ...
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