SOLUTION: how would i solve x^(4)+x^(2)+25?
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Question 326527: how would i solve x^(4)+x^(2)+25?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
I don't know how you would solve it. Nobody can solve it. It isn't an equation, so there is nothing to solve. There are two possibilities here. First you might just have left the 
off the end. Or you might have mistakenly held the Shift key when you were trying to type = and what you really meant was 
. I do know how I would solve either of those. Second way first.
Let 
. That means 
. Then:
Using the quadratic formula:
\ \pm\ \sqrt{(1)^2\ -\ 4(1)(-25)}}{2(1)}\ =\ \frac{-1\ \pm\ \sqrt{101}}{2})
but since , 
or 
First way second:
Let . That means . Then:
Using the quadratic formula:
\ \pm\ \sqrt{(1)^2\ -\ 4(1)(25)}}{2(1)}\ =\ \frac{-1\ \pm\ \sqrt{-99}}{2}\ =\ \frac{-1\ \pm\ 3i\sqrt{11}}{2})
but since , 
or 
John
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