SOLUTION: Q. Find all complex solutions to the equation (z + 1)^4 = 16z^4 Please help?! i understand the basics of imaginary numbers and complex numbers but am really clueless on this. Be

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Q. Find all complex solutions to the equation (z + 1)^4 = 16z^4 Please help?! i understand the basics of imaginary numbers and complex numbers but am really clueless on this. Be      Log On


   

Question 136096: Q. Find all complex solutions to the equation (z + 1)^4 = 16z^4
Please help?! i understand the basics of imaginary numbers and complex numbers but am really clueless on this. Best Regards.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(Z+1)^4=16Z^4
TAKING THE 4 TH ROOT OF BOTH SIDES.
(Z+1)=2Z
Z-2Z=-1
-Z=-1
Z=1 ANSWER.
PROOF:
(1+1)^4=16*1^4
2^4=16*1
16=16