SOLUTION: 3x^4=6x^2 by factoring {{{3x^4 = 6 x^2}}}

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Question 4387: 3x^4=6x^2 by factoring
3x%5E4+=+6+x%5E2
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
First set the equation equal to zero, by subtracting 6x%5E2 from each side of the equation.
3x%5E4+=+6+x%5E2
3x%5E4+-+6x%5E2+=+6+x%5E2-+6x%5E2
3x%5E4+-+6+x%5E2+=+0
Factor the common factor of 3x%5E2 from the left side of the equation:
3x%5E2+%28x%5E2+-+2%29=0

Set each factor equal to zero:
3x%5E2+=+0 or x%5E2+-+2+=+0

Now this is a technicality, but the only solution you can obtain strictly by factoring is from the first equation, x=0. The second equation can be solved but not by factoring. The second equation also gives real solutions, so you probably want those also, right?

x%5E2+-+2=0
x%5E2+=+2
x+=+sqrt+%282%29 or x=-sqrt+%282%29

The final answer is x=0, +x=sqrt%282%29, x=-sqrt+%282%29

R^2 at SCC