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Use the quadratic formula to find all solutions in the interval [0,2pi): tan^2x-6tanx+4=0

This is for my trig class, thanks for the help!
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2 Answers

(tanx-3)2-5=0
tanx-3=±√5
tanx=3±√5
Now you have a better chance of getting it.  Excel has an atan function
tanx has a periodicity of ?
By completing the square,
(tanx+3)^2 = 5
tanx = -3+/-sqrt(5)
Can you get x now?