Question

convert the complex number in standard form z= 1+7i/(2-i)²​

Answer 1

Answer:

13/41 + (35/41)i

Step-by-step explanation:

We have,

1 + 7i/(2-i)^2

= 1 + 7i/(4 + 1 - 4i)

=1 + 7i(5 + 4i)/(5^2-4i^2)

=1 + (35i - 28)/(25 + 16)

= 1 - 28/41 + (35/41)i

= 13/41 + (35/41)i