SOLUTION: I would appreciate it if someone could help me out with this problem: Solve the equation for 0 degrees<=x<=360 degrees. Express your answer as an exact value. tan^2x- ( sqrt(

Question 1058610: I would appreciate it if someone could help me out with this problem:
Solve the equation for 0 degrees<=x<=360 degrees. Express your answer as an exact value.
tan^2x- ( sqrt( 3 ) +1) tanx + sqrt( 3 ) = 0

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve the equation for 0 degrees<=x<=360 degrees. Express your answer as an exact value.
tan^2x- ( sqrt( 3 ) +1) tanx + sqrt( 3 ) = 0
---------
Sub u for tan(x)
---
u^2 + (sqrt(3)+1)u + sqrt(3) = 0
(u + 1)*(u + sqrt(3)) = 0 **** Lucky it can be factored.
u = -1
tan(x) = -1
x = 135, 315 degs
-----
tan(x) = -sqrt(3)
x = 120, 300 degs

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