SOLUTION: Find all the exact solutions (in radians) for the equation 3(tan^2)X-4=tanX

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Question 537547: Find all the exact solutions (in radians) for the equation 3(tan^2)X-4=tanX
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
3tan%5E2%28X%29-4=tan%28X%29
3tan%5E2%28X%29-tan%28X%29-4=0
%283tan%28X%29-4%29%28tan%28X%29%2B1%29=0
3tan%28X%29-4=0 or tan%28X%29%2B1=0
tan%28X%29=4%2F3 or tan%28X%29=-1
X=arctan%284%2F3%29%2Bpi%2Ak, k is the whole number or X=3pi%2F4%2Bpi%2An, n is the whole number