SOLUTION: please solve the inequality {{{x^4+2x^2<=0}}}

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Question 334892: please solve the inequality
x%5E4%2B2x%5E2%3C=0
Found 2 solutions by Fombitz, vleith:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E4%2B2x%5E2%3C=0
x%5E2%28x%5E2%2B2%29%3C=0
Neither quantity is ever less than zero.
Use the zero product property to find when it equals zero.
x%5E2=0
x=0
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x%5E2%2B2=0
x%5E2=-2
No solution.
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x=0 is the only solution.
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graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E4%2B2x%5E2%29

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E4%2B2x%5E2%3C=0
x%5E2%28x%5E2%2B2%29%3C=0
the only vlaue that works is x=0