Question

X^4+15x^2+40

Answer 1

-15+or - \[-15\pm \sqrt{65}\div2\]

Answer 2

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Answer 3

\[x^4 +15x^2+40\]\[(x^4+15x^2)+40\]\[\left(x^4+15x^2 +\frac{225}{4}\right)+40 -\frac{225}{4}\]\[\left(x^2+\frac{15}{2}\right)^2 -\frac{65}{4}\]

Answer 4

So if you want to solve for x, you set this equation =0\[\left(x^2 +\frac{15}{2}\right)^2 =
\frac{65}{4}\]\[\sqrt{\left(x^2+\frac{15}{2}\right)^2} = \pm\sqrt{\frac{65}{4}}\]\[x^2 + \frac{15}{2} = \pm \sqrt{\frac{65}{4}}\] Now just solve from x.