SOLUTION: Cos^2(x)-5cos(x)+4=0

Algebra.Com
Question 544049: Cos^2(x)-5cos(x)+4=0
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Cos^2(x)-5cos(x)+4=0
----
Quadratic in cos(x):
Factor:
(cos(x)-4)(cos(x)-1) = 0
------
cos(x) = 4 or cos(x) = 1
----
Only cos(x) = 1 is legitimate
---
x = 0
===============
Cheers,
Stan H.

RELATED QUESTIONS

5cos(x 8.5)º - 1=0, 0º≤x≤90º. find... (answered by Alan3354)
Solve 2cos^2 - 5cos(x) +2 =0 for principal values of x. Express the solution(s) in... (answered by stanbon)
5cos^2 theta +cos theta-1=0 Find all possible values of theta in between 0 and... (answered by Fombitz)
Find all the angles between 0 and 360 inclusive which satisfy the equation 4sin^2(x) -... (answered by htmentor)
cos(x+(π/2))-cos(2x)=0 (answered by robertb,Gogonati)
Consider the equation, 5cos(2x)+2=sin(x)-1, where 0 <(or equal) x < 2pi . The number of... (answered by Theo)
Please help me solve this equation (((5cos ^2x+3sinx^-3)))=0,such that 0掳 (answered by Alan3354)
What are the amplitude and period of... (answered by erica65404)
Find f (x) if f(x) = 2ln(x) - 5cos(x) + 9 and evaluate f (2).(Keep 2... (answered by ikleyn)