SOLUTION: Solve the polynomial equation 3x^4 = 81x

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Question 219137: Solve the polynomial equation 3x^4 = 81x
Answer by user_dude2008(1862) About Me  (Show Source):
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3x^4 = 81x

3x^4 - 81x = 0

3x(x^3 - 27) = 0

3x(x-3)(x^2+3x+9) = 0

3x=0, x-3=0, x^2+3x+9=0

Answers:

x=0, x=3, -3/2+(3/2)*i*sqrt(3), -3/2-(3/2)*i*sqrt(3)