Question

Divide the following complex numbers: (1+i)/(2-5i) ??

Answer 1

Given : $\frac{(1 + i)}{(2 - 5i)}$

Multiplying and Dividing with (2 + 5i)

$\implies\frac{(1 + i)(2 + 5i)}{(2 - 5i)(2 + 5i)}$

$\implies \frac{(2 + 5i + 5i^2 + 2i)}{(4 - 25i^2)}$

We know that i² = -1

$\implies \frac{(2 + 7i - 5)}{(4 + 25)}$

$\implies \frac{-3 + 7i}{29}$

$\implies \frac{-3}{29} + \frac{7}{29}i$

Option C is the Answer