SOLUTION: Solve {{{6x^4-19x^2+10=0}}}

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Question 131891: Solve 6x%5E4-19x%5E2%2B10=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
6x%5E4-19x%5E2%2B10=0 Start with the given equation


Let u=x%5E2

6u%5E2-19u%2B10=0 Plug in u=x%5E2



%282u-5%29%283u-2%29=0 Factor the left side (note: if you need help with factoring, check out this solver)



Now set each factor equal to zero:
2u-5=0 or 3u-2=0

u=5%2F2 or u=2%2F3 Now solve for u in each case



Now remember, we let u=x%5E2, so this means


x%5E2=5%2F2 or x%5E2=2%2F3


or Take the square root of both sides for each case


So our solutions are


,, or