SOLUTION: If x^4 +3x^2 + 1 = 0 then x = ?

Question 985991: If x^4 +3x^2 + 1 = 0
then x = ?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
If x^4 +3x^2 + 1 = 0
then x = ?
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Sub u for x^2

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=5 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.381966011250105, -2.61803398874989. Here's your graph:

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x =
x =
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