Use inverse functions where needed to find all solutions of

Use inverse functions where needed to find all solutions of the equation in the interval [0, 2). (Enter your answers as a comma-separated list.) tan2 x 7 tan x 8 = 0

Solution

tan^2 x 7 tan x 8 = 0

tan^2x -8tanx + tanx -8 =0

tanx(tanx -8) -1(tanx -8)=0

(tanx-1)(tanx -8) =0

tanx =1

x=pi/4 , pi+pi/4 = pi, 5pi/4

tanx -8=0

x= tan^-1(8) = 1.45 , pi +1.45 = 1.45 , 4.59

Solution in the interval [0, 2pi) x= pi/4,5pi/4, 1.45 , 4.59 radians