2sec^2x - 3tanx - 5 = 0

I got
x= 1.24 radians
x= 4.38 radians
x= -0.74 radians
x= -3.88 radians

2 answers

trying one of them
my calculator is set for degrees
using 4.38 rad = 251 degrees
sec 251 = -3.07
2 sec^2 251 = 18.87

tan 251 = 2.9
-3 tan 251 = -8.71

18.87 -8.71 - 5 = 5.15

hmmm :(
2sec^2x - 3tanx - 5 = 0
2 + 2tan^2x - 3tanx - 5 = 0
2tan^2x - 3tanx - 3 = 0
tanx = (3±√33)/4 = -0.686, 2.1861
x = -0.601+nπ, 1.142+nπ
So, I get
x = 1.142, 2.541, 4.283, 5.682

Too bad you didn't show us any of your work.