If , prove that…

MATHEMATICS · Subjective · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

6. If a+ib=(x+i)22x2+1a+i b=\frac{(x+i)^{2}}{2 x^{2}+1}, prove that a2+b2=(x2+1)2(2x2+1)2a^{2}+b^{2}=\frac{\left(x^{2}+1\right)^{2}}{\left(2 x^{2}+1\right)^{2}}.

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