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

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

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To solve the problem, we start with the given equation: \[ a + ib = \frac{(x + i)^2}{2x + 1} \] ### Step 1: Expand the numerator First, we expand the numerator \((x + i)^2\): ...
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