anonymous
  • anonymous
find all real and imaginary solution to the equation w^4+216w=0
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
w(w^3+216)=0 w = 0, -6
anonymous
  • anonymous
multiplicity 3 at -6.
anonymous
  • anonymous
those are the real solutions, the easier bit

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anonymous
  • anonymous
There are no imaginary solutions. Good luck finding them if you don't trust me :\
anonymous
  • anonymous
there are, give me some time and I will find it
anonymous
  • anonymous
Ah I take it back, you are correct. 3 (1-i sqrt(3)) and 3 (1+i sqrt(3))
anonymous
  • anonymous
might be I cannot think straight now... tired
anonymous
  • anonymous
Just plugged it into Mathematica. Didn't pay attention so only saw real roots :P. They are correct.

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