Given : [tex]\frac{(1 + i)}{(2 - 5i)}[/tex]
Multiplying and Dividing with (2 + 5i)
[tex]\implies\frac{(1 + i)(2 + 5i)}{(2 - 5i)(2 + 5i)}[/tex]
[tex]\implies \frac{(2 + 5i + 5i^2 + 2i)}{(4 - 25i^2)}[/tex]
We know that i² = -1
[tex]\implies \frac{(2 + 7i - 5)}{(4 + 25)}[/tex]
[tex]\implies \frac{-3 + 7i}{29}[/tex]
[tex]\implies \frac{-3}{29} + \frac{7}{29}i[/tex]
Option C is the Answer
