What value(s) of x from 0 to 2pi solve the following equation: cos squared x - cos x - 6 = 0

Answer 1

cos^2 - cos - 6 = 0
(cos-3)(cos+2) = 0
cos = 3 or -2
Bzzzt. |cos| <= 1, so not possible.

If there's a typo, fix it and apply the same steps.

Answer 2

There isn't a typo this is the equation my professor gave us, thanks for the help!