Question

Question #ed5b1

Answer 1

`1/26+(5/26)i.`

Explanation:

Let, `z=i/(5+i).`

`rArr z=i/(5+i)xx(5-i)/(5-i),`

`=(5i-i^2)/(5^2-i^2),`

`=(5i-(-1))/(25-(-1)),`

`=(1+5i)/26,`

`:. z=1/26+(5/26)i.`