SOLUTION: Find, to the nearest degree, the solution set of tan^2 x -5 tan x+6=0 over the domain 0 degrees<x<90

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Question 414670: Find, to the nearest degree, the solution set of tan^2 x -5 tan x+6=0 over the domain 0 degrees
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

Find, to the nearest degree, the solution set wth domain 0< x <90

tan^2 x -5 tan x+6=0

factoring

(tanx - 3)(tanx - 2) = 0

(tanx - 3) = 0     tanx = 3   x = 72° 

(tanx - 2) = 0     tanx = 2   x = 63°