Question

find all real and imaginary solution to the equation w^4+216w=0

Answer 1

w(w^3+216)=0
w = 0, -6

Answer 2

multiplicity 3 at -6.

Answer 3

those are the real solutions, the easier bit

Answer 4

There are no imaginary solutions. Good luck finding them if you don't trust me :\

Answer 5

there are, give me some time and I will find it

Answer 6

Ah I take it back, you are correct.

3 (1-i sqrt(3))

and

3 (1+i sqrt(3))

Answer 7

might be I cannot think straight now... tired

Answer 8

Just plugged it into Mathematica. Didn't pay attention so only saw real roots :P. They are correct.