SOLUTION: x4 + 2x2 – 1 = 0

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Question 175567: x4 + 2x2 – 1 = 0
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!

You can use a substitution and knock this down to a quadratic equation.
Let


Use the quadratic formula,




Two solutions for z.
.
.
First solution for z,


Two real roots,

or approximately
and
.
.
Second solution for z,


Two complex roots,



or approximately
and
.
.
.
The graph verifies the real roots.
.
.
.

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