SOLUTION: Type an exact answer using radicals as needed and use commas to separate answers. What is the solution? w = w^4 - 2w^2 - 2 = 0

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Question 319350: Type an exact answer using radicals as needed and use commas to separate answers. What is the solution? w =
w^4 - 2w^2 - 2 = 0

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
w^4 - 2w^2 - 2 = 0
:
Find w^2 using the quadratic formula

in this equation
x=w^2, a=1, b=-2, c=-2

:

:
Two solutions


extract the sqrt of 4

Cancel the 2's

Find the square root of both sides
w = ; a good solution
:
but we also have


extract the sqrt of 4

Cancel the 2's

Find the square root of both sides
w =
However sqrt of 3 > 1, therefore we have square root of a neg number
:
I'm going to say the exact solution using radicals
w = +, -
:
Confirm this with a graph of this equation

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