SOLUTION: Solve the equation z^4=-2(sort)3 -2i and sketch the solutions in the complex plane. Do I calculate first to z^4=-2i-3.464102 Help!!!! Thank You

Algebra ->  Trigonometry-basics -> SOLUTION: Solve the equation z^4=-2(sort)3 -2i and sketch the solutions in the complex plane. Do I calculate first to z^4=-2i-3.464102 Help!!!! Thank You      Log On


   

Question 1043494: Solve the equation
z^4=-2(sort)3 -2i
and sketch the solutions in the complex plane.
Do I calculate first to z^4=-2i-3.464102
Help!!!!
Thank You
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
z%5E4+=+-2sqrt%283%29+-+2i
<===>

===> The principal 4th root is

===> The other 4th roots are
r%5B2%5D+=+sqrt%282%29%2Aexp%28i%2A%2819%2Api%29%2F24%29,
r%5B3%5D+=+sqrt%282%29%2Aexp%28i%2A%2831%2Api%29%2F24%29, and
r%5B4%5D+=+sqrt%282%29%2Aexp%28i%2A%2843%2Api%29%2F24%29.