SOLUTION: Find all solutions of the equation in the interval [0,2π) algebraically. Sec^2 x - sec x =2 what are the steps to do this problem? how do i start?

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Question 246385: Find all solutions of the equation in the interval [0,2π) algebraically. Sec^2 x - sec x =2
what are the steps to do this problem? how do i start?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: Let z=sec%28x%29. So z%5E2=%28sec%28x%29%29%5E2 which means that the equation %28sec%28x%29%29%5E2-sec%28x%29=2 becomes z%5E2-z=2. Use the quadratic formula to solve for 'z'. Once you have the solutions in terms of z, use them to find the solutions in terms of x.