SOLUTION: Approximate the solutions of 3 tan^2 x + 4 tan x − 4 = 0 in the interval [0, 2π)

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Question 854427: Approximate the solutions of
3 tan^2 x + 4 tan x − 4 = 0
in the interval [0, 2π)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use a substitution, u=tan%28x%29
3u%5E2%2B4u-4=0
%283u-2%29%28u%2B2%29=0
Two solutions:
3u-2=0
3u=2
u=2%2F3
tan%28x%29=2%2F3
x=atan%282%2F3%29
.
.
.
u%2B2=0
u=-2
tan%28x%29=-2
x=atan%28-2%29