This is for my trig class, thanks for the help! If you could, could you please show all your work? Thanks again!

Tan^2 X + 6 Tan X + 4 =0

Tan X = - 6/2 ± √ (6^2 -16)

2

= -3 ± √5

Tan X = -3 + √5 X = - 0.65 rad = -0.21 π or X = 0.79 π

Tan X = -3 - √5 X = -1.38 rad= -0.44π

or X = π - 0.44 π = 0.56π