SOLUTION: find all values of x in the interval [0,2pi] that satisfy 2cos^2x+1=3cosx

Question 858235: find all values of x in the interval [0,2pi] that satisfy 2cos^2x+1=3cosx
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
find all values of x in the interval [0,2pi] that satisfy
2cos^2x+1=3cosx
2cos^2x-3cosx+1=0
(2cosx-1)(cosx-1)=0
2cosx-1=0
cosx=1/2
x=π/3, 5π/3
or
cosx-1=0
cosx=1
x=0, 2π
values of x in the interval [0,2pi] : 0, π/3, 5π/3, 2π
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