SOLUTION: what are the solutions of the equation tan^2X+4tanX+2=0 on the interval [0, 360 degrees)

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Question 874519: what are the solutions of the equation tan^2X+4tanX+2=0 on the interval [0, 360 degrees)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
what are the solutions of the equation
tan^2X+4tanX+2=0 on the interval [0, 360 degrees)
tan^2X+4tanX+2=0
solve for tanx by quadratic formula:
tanx+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a=1, b=4, c=2
tanx=%28-4%2B-sqrt%2816-4%2A1%2A2%29%29%2F2=%28-4%2B-sqrt%288%29%29%2F2=(-4±2√2)2=-2±√2=-3.414,-0.585
tanx≈-3.414
x≈106.32˚, 286.32˚
or
tanx≈-0.585
x≈149.67˚, 329.67˚