SOLUTION: find all solutions of the equation algebraically. 36t^4 + 29t^2 - 7 = 0

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Question 180701: find all solutions of the equation algebraically.

36t^4 + 29t^2 - 7 = 0


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find all solutions of the equation algebraically.
36t^4 + 29t^2 - 7 = 0
36t^4 + 36t^2 - 7t^2 - 7 = 0

36t^2(t^2 + 1) -7(t^2+1) = 0
(t^2+1)(36t^2-7) = 0
t^2 = -1 or 36t^2 = 7
t = i or t = -i or sqrt(7)/6 or -sqrt(7)/6
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cheers,
Stan H.