Divide the complex numbers. Write the answer in the form a + bi.

Question

Divide the complex numbers. Write the answer in the form a + bi.

A.

B.

C.

D.

Answer 1

Hello Lily

You have: [(-8 + 3i)/(5 + 7i)]_*[(5 - 7i)/(5 - 7i)] = (-40 + 56i + 15i - 21i²)/(25 - 49i²) = (-40 + 21 + 71i)/(25 + 49) = (-19 + 71i)/74 = -19/74 + (71/74)i. So the answer is (A).

Sincerely

Michael Imbert