Find the complex number which satisfied the equation 5zz ̅+3(z-z ̅)=42 – 15j

Answer 1

5(x+iy)(x-iy)+3(x+iy -x +iy) =42-15i

5x^2+5y^2 + 6iy = 42-15i

5 x^2 + 5 y^2 = 42
6 i y = -15i
y = -15/6

5 x^2 + 5 (225/36) = 42