SOLUTION: Find all the fourth roots of 16. There are four solutions: 2, -2, i, i. equation: x to the fourth power - 16 = 0 ( )( )= 0 conjugates either( )= 0 or (

Algebra ->  Square-cubic-other-roots -> SOLUTION: Find all the fourth roots of 16. There are four solutions: 2, -2, i, i. equation: x to the fourth power - 16 = 0 ( )( )= 0 conjugates either( )= 0 or (       Log On


   

Question 167367: Find all the fourth roots of 16. There are four solutions: 2, -2, i, i.
equation: x to the fourth power - 16 = 0
( )( )= 0 conjugates
either( )= 0 or ( )= 0
Pick any method: -quadratic formula
-complete square
-square root
-4 solutions


* I am so lost!!!
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find all the fourth roots of 16. There are four solutions: 2, -2, i, i.
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x%5E4+=+16
x%5E4-16+=+0
%28x%5E2-4%29%2A%28x%5E2%2B4%29+=+0
For %28x%5E2-4%29+=+0, x = 2, x = -2
For %28x%5E2%2B4%29+=+0, x = 2i, x = -2i