**Problem of the Week #13**__:__ (Fall, 2014, for the week of 11/17/2014 – 11/21/2014)

Let the equation tan^{2}(*x*) - 9tan(*x*) + 1 = 0 be given. Without using a calculator, find the *SUM* of all solutions *x* that are between *x* = 0 and *x* = 2*π* radians. Give exact, simplified solutions as a multiple of *π*. Clearly show the mathematical process that you use to __ find__ your solution.

Solutions are due at or before noon, Friday November 21.

**Rules:**

- This contest is open to any students who are registered at Sinclair for the Fall semester of 2014. It is expected that students will
**work alone**on the problems. - Weekly problems will be posted on the board in the Math Help Room Monday mornings. Solutions to a problem will appear there the following week.
- All answers must be substantiated
**by hand**for credit (show all work). Programs written to solve the problem by computer or calculator will not count as sufficient justification. - Submit solutions to Susan Harris in room 01-331. You may slip them under her office door anytime before Friday at noon.
- Names of all students who submit correct solutions on time will be posted by the following week.
- A prize of $50 will be awarded to the student who correctly answers the most problems for the quarter, and a prize of $25 will be awarded to the second place winner.