You can put this solution on YOUR website! w^4-6w^2-2=0
a=1 ; b=-6 ; c=-2
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w^2 = [6 +- sqrt(36-4(-2))]/2
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w^2 = [6 +- sqrt(44)]/2
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w^2 = [6 +- 2sqrt(11)]/2
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w^2 = 3+-sqrt(11)
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w = sqrt(3+sqrt(11)) or w = sqrt(3-sqrt(11))
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Cheers,
Stan H.