Question

The graph represents the complex numbers z1 and z2.what are their conjugated? What is the conjugate of their product?The conjugate of z1 is (-2-3i, -2+3i, 2-3i). The conjugate of z2 is (-5+4i, 5-4i, 5+4i). The conjugate of the product of z1 and z2 is_

Answer 1

Conjugate of:

Z1= 2+3i

Z2=-5-4i

Conjugate of z1 and z2:

`\begin{gathered} Z1=2-3i \\ Z2=-5+4i \end{gathered}`

The axis x will be the number a, and the y-axis will be the number b with i.

Conjugate of the product: Multiplying Z1*Z2:

`\begin{gathered} Z1*Z2=(2+3i)*(-5-4i) \\ Z1*Z2=-10-8i-15i-12(i)^2 \\ Z1*Z2=-10+12-23i=2-23i \end{gathered}`

Therefore, the conjugate of the product will be:

`Z1*Z2Conjugate=2+23i`