SOLUTION: The question is: Solve x^4 - 8x^2 + 16. The possible answers are: -2, 2, -2i, 2i -2i, 2i -2, 2i -2, 2 Any help would be appreciated. Please explain in detail how you

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Question 405559: The question is:
Solve x^4 - 8x^2 + 16.
The possible answers are:
-2, 2, -2i, 2i
-2i, 2i
-2, 2i
-2, 2
Any help would be appreciated. Please explain in detail how you got to the answer. Thank you so much!

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Solving: finding roots by setting the function = 0
x^4 - 8x^2 + 16 = 0 |note the use of ^ (uppercase 6)
factoring
(x^2 -4)(x^2 -4)= 0
Note:SUM of the inner product(-4x^2) and the outer product(-4x^2) = -8x^2
(x^2-4) = 0
factoring
(x+2)(x-2) = 0 Note:SUM of the inner product(2x) and the outer product(-2x) = 0
(x+2)= 0 x = -2
(x-2)= 0 x = 2

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