Question

(x-yi)(3+5i) is the conjugate of 6+24i

Answer 1

x=-3

y=3

(-3-3i)(3+5i)

Explanation:

`(x-yi)(3+5i)\\=3x+5xi-3yi+5y\\=(3x+5y)+(5x-3y)i\\`

and we have that must equal

6-24i

3x+5y=6

5x-3y=-24 and if we work it we found out that the solutions are

x=-3 and

y=3