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If ((a + i)^(2))/(2a-i) = p + iq, show t...

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

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The correct Answer is:
`((a^(2) + i^(2)))/(4a^(2) + 1)`
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