Find z1z2 and z1/z2 for the pair of complex numbers using trigonometric form.

z1=4+9i, z2=-5-5i

I got z1z2 = 25-65i

But cannot find the z1/z2.

1 answer

z1/z2 = (4+9i)/(-5-5i)

Multiply top and bottom by the denominator's conjugate:

(4+9i)(-5+5i) / (-5-5i)(-5+5i)
(-65-25i) / (5^2+5^2)
-65/50 - 25/50 i
-13/10 - 1/2 i