SOLUTION: Solve. w^4-20w^2-2=0 What is the solution?

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Question 632148: Solve.
w^4-20w^2-2=0
What is the solution?

Found 2 solutions by josmiceli, Edwin McCravy:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let
and




Complete the square



Take the square root of both sides


and

----------------------



-----------------------



-----------------------
These are the 4 roots
Here's a plot of the equation:

There are 2 real roots and 2 imaginary, which
seems to agree with the plot

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
I just might add that the two imaginary solutions

can be written as



Edwin


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