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

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Question 130878: Solve.
w^4 - 4w^2 - 2 = 0
What is the solution? w = _____
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
w^4 - 4w^2 - 2 = 0
w^2 = [4 +- sqrt(16-4*1*-2)]/2
w^2 = [4 +- sqrt(24)]/2
w^2 = [4 +- 2sqrt(6)]/2
w^2 = [2 +- sqrt6]
w^2 = 2+sqrt6 or x^2 = 2-sqrt6
w = sqrt(2+sqrt6) or w = -(2+sqrt6) or w=sqrt(2-sqrt6) or w=-sqrt(2-sqrt6)
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Cheers,
Stan H.