SOLUTION: Find all real solutions of the equation. List solutions in increasing order. 2(x^-4) - 10(x^-2) + 2 = 0 Have tried to simplify and eliminate but must be missing something be

Question 263095: Find all real solutions of the equation. List solutions in increasing order.
2(x^-4) - 10(x^-2) + 2 = 0
Have tried to simplify and eliminate but must be missing something because I can't get anything to equal 0.
Found 2 solutions by jim_thompson5910, drk:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Hint: If we let , then . Now apply the proper substitutions to get . Now use the quadratic formula to solve and get solutions in terms of 'z'. Once you have those solutions, plug them into to find solutions in terms of 'x'.
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
we are given the following equation
(i)
step 1 - multiply all terms by x^4 to get
(ii)
rewrite in descending order; divide by -2 to get
(iii)
Let x^2 = U and we get
(iv)
factor using the quadratic to get
(v)
and then
(vi)
Now replace U with x^2 to get
(vii)
taking a square root gives us
(viii)
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