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

Question 874519: what are the solutions of the equation tan^2X+4tanX+2=0 on the interval [0, 360 degrees)
Answer by lwsshak3(11628) (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:

a=1, b=4, c=2
tanx==(-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˚
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