SOLUTION: X ^ 4 � 2 x ^ 2 = 8 That is: x to the fourth minus two x squared equals eight. Find all solutions for x. I have attempted this problem several times and am fighting with i

Question 204560: X ^ 4 � 2 x ^ 2 = 8
That is: x to the fourth minus two x squared equals eight.
Find all solutions for x.
I have attempted this problem several times and am fighting with it, I thought to take the square root of both sides and that didn't work, and I tried adding eight to both sides but I am still stuck and don't know how to proceed. Please help!
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Solve for x:
Subtract 8 from both sides of the equation.
Now you can make this look like a quadratic equation by temporarily substituting
Factor this.
Apply the zero product rule.
or which means that...
or Re-substitute to get:
or so this means that...
or or or
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