Let z=x+yi such that 16=5z - 3z*, What is z?

z* is the complex conjugate of z therefore z* = x - yi. So 16 + 32i = 5(x + yi)-3(x - yi), real: 16 = 5x - 3x => 16=2x => x=8, imaginary: 32 = 5y + 3y => 32 = 8y => y=4, therefore z = 8 + 4i.

Answered by Ben C. Maths tutor

2785 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

express 9^(3x+1) in the form 3^(ax+b)


If y^3 = 8.08, approximate y.


Split (3x-4)/(x+2)(x-3) into partial fractions


Find dy/dx when y = x(4x + 1)^1/2


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences