If \( a+i b=\frac{(x+i)^{2}}{2 x^{2}+1} \), prove that \( a^{2}+b^{2}=\frac{(x+1)^{2}}{\left(2 x...
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0If \( a+i b=\frac{(x+i)^{2}}{2 x^{2}+1} \), prove that \( a^{2}+b^{2}=\frac{(x+1)^{2}}{\left(2 x^{2}+1\right)^{2}} \)
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