z1 = 3 + 2i and z2 = -5 -3i

What are the conjugates of z1 and z2 ?
What is the conjugate of the product of z1 and z2?

Respuesta :

Answer:

See below in bold.

Step-by-step explanation:

z1: 3 + 2i

The conjugate is 3 - 2i.

z2:   -5 - 3i  The conjugate is -5 + 3i.

The product z1 * z2 =   (3 + 2i)(-5 - 3i)

= -15  - 9i - 10i - 6i^2

= -15 - 19i - 6*-1

= -15 - 19i + 6

= -9 - 19 i.

So it's conjugate is -9 +19 i.