SOLUTION: x^4= 16 using complex numbers solve for x. couldn't find any examples like this in the book. i get the same answer every time : 2, -2 yet the back of the book has -2i and 2i a

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Question 495037: x^4= 16
using complex numbers solve for x. couldn't find any examples like this in the book.
i get the same answer every time : 2, -2 yet the back of the book has -2i and 2i also.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!




x = -2, +2
----------


x = -2i, +2i
--------------
The number of roots = the order of the equation.
4th order --> 4 roots
Sometimes the roots are repeated, eg, x^3=0
--> x = 0,0,0
3 roots, of 0, multiplicity 3

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