SOLUTION: t to the 4th power - 6t squared - 4= 0

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Question 139544This question is from textbook
: t to the 4th power - 6t squared - 4= 0 This question is from textbook

Answer by solver91311(24713) About Me  (Show Source):
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t%5E4-6t%5E2-4=0

Let x=t%5E2, then substitute into t%5E4-6t%5E2-4=0 giving x%5E2-6x-4=0

Solve the quadratic in x by either completing the square or using the quadradic formula (this one doesn't factor neatly). You will find two roots in x.

Set each of these roots equal to t%5E2 and then solve each equation for t, remembering to consider the positive and negative root in each case.

You will end up with 4 roots, which was expected because you started with a quartic (4th degree) equation.