This question can be found in Heffernan's 2007 exam 1 for Maths Methods:
Solve over the domain [0,2*pi]:
tan2(x) + (1-rt(3))tan(x) = rt(3)
Let tan(x) = A
A2 + (1-rt(3))A = rt(3)
A2 + [(rt(3)/rt(3)) - (rt(3)/1)]A - rt(3) = 0
A2 + [(rt(3)-3rt(3))/rt(3)]A - rt(3) = 0
And that's where I become lost, did I simplify the cofactor 'A' correctly? How would I complete this square? Once I have completed this square, how would I solve the equation?