SOLUTION: Solve: {{{x^4-13x^2+36=0}}}

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Question 134942: Solve: x%5E4-13x%5E2%2B36=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E4-13x%5E2%2B36=0 Start with the given equation

%28x%5E2-9%29%28x%5E2-4%29=0 Factor the left side (note: if you need help with factoring, check out this solver)


%28x%2B3%29%28x-3%29%28x-2%29%28x%2B2%29=0 Factor x%5E2-9 by use of the difference of squares to get %28x%2B3%29%28x-3%29. Factor x%5E2-4 by use of the difference of squares to get %28x%2B2%29%28x-2%29

Now set each factor equal to zero:

x%2B3=0, x-3=0, x-2=0 or x%2B2=0

Now solve for x for each factor:

x=-3, x=3, x=2 or x=-2



So our answer is

x=-3, x=3, x=2 or x=-2