Question

Solve tan^2(x) - 3tan(x) + 2=0

Answer 1

Quadratic in tanx

Answer 2

let tan(x)=t
then the equation becomes:
t^2-3t+2=0
(t-2)*(t-1)=0
t=2 or t=1
tan(x)=2 or tan(x)=1(backsubstitution)
x=63.43 degrees or x=45 degrees