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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 start with the equation given: \[ \frac{(a+i)^2}{(2a-i)} = p + iq \] ### Step 1: Expand the numerator First, we need to expand the numerator \((a+i)^2\): ...
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