Question 303483: I am completely lost! Please help!
Solve:
10x^4-17x^2+3=0
The answer must be simplified.
Thank you! Found 2 solutions by jim_thompson5910, mananth:Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! Hint: If we let , then meaning that we can transform the given equation into . Next solve this equation (using any method of your choice) to find the solutions in terms of 'z'. Once you have the solutions in terms of 'z', use them to find the solutions in terms of 'x'.
You can put this solution on YOUR website! 10x^4-17x^2+3=0
x^2(10x^2-17 +3/x^2)
x^2{10x^2 -15-2 +3/x^2}
x^2{5x^2(2-3/x^2) -1(2-3/x^2)}
x^2{5x^2-1)(2-3/x^2}=0
Ananth
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