SOLUTION: Hi May I have some help with finding solutions to this equation? Find all real solutions of the following equation. (If there are extra answer boxes, enter NONE.) x^5 + 216x^2

Algebra ->  Equations -> SOLUTION: Hi May I have some help with finding solutions to this equation? Find all real solutions of the following equation. (If there are extra answer boxes, enter NONE.) x^5 + 216x^2       Log On


   



Question 121205: Hi May I have some help with finding solutions to this equation?
Find all real solutions of the following equation. (If there are extra answer boxes, enter NONE.)
x^5 + 216x^2 = 0

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
x^2(x^3 + 216) = 0
x^2( (x)^3 + (6)^3 ) = 0
x^2(x + 6)(x^2 - 6x + 36) = 0
x^2(x + 6)(x^2 - 6x + 36)
~~~~ Each section:
x^2 = 0 so x = 0
and
x + 6 = 0 so x = -6
and
x^2 - 6x + 36 = 0
x = ( 6 +- sqrt(36 - 4*36 ....
Olny zero and negative six
~~~~
graph%28200%2C400%2C-10%2C10%2C-3000%2C3000%2Cx%5E5+%2B+216x%5E2%29 ~> graph%28200%2C400%2C-7%2C1%2C-1500%2C1500%2Cx%5E5+%2B+216x%5E2%29