Answer
1) Given equation is quadratic.
2) Only one trigonometric function i.e. $\tan x$ is present.
3) Equation does not seem to be factorable, hence it would be great to use quadratic formula to find desired solution.
Work Step by Step
Given equation is-
$ \tan^{2} x $ - $4 \tan x$ + $2$ = $0$
Steps to be taken-
1) Given equation is quadratic.
2) Only one trigonometric function i.e. $\tan x$ is present.
3) Equation does not seem to be factorable, hence it would be great to use quadratic formula to find desired solution.