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## anonymous 4 years ago Algebra 2: Find the real or imaginary solutions of the equation by factoring: x^4 - 10x^2 + 16 = 0

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1. Zarkon

use the quadratic equation

2. anonymous

If you factor you will get $$\left(-8+x^2\right) \left(-2+x^2\right)$$

3. anonymous

would I have to use it with every polynomial that begins with a degree of 4?

4. Zarkon

or factor :)

5. Zarkon

$u=x^2$

6. anonymous

Right, I have issues with those problems that begin with x4.

7. anonymous

x^4*

8. Zarkon

all 4 solutions are real

9. anonymous

oppps! mea culpa :(

10. anonymous

$$\left(x^2-8\right) \left(x^2-2\right) \implies x = \pm \sqrt 2 , \pm 2\sqrt{2}$$

11. anonymous

Sweet, thanks!

12. anonymous

Glad to help :)

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