ID: Class: 11 Subject: Math Topic: Complex number and quadratic equation Type: Subjective

Question:

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