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3cos2x+10cosx+3=0

equation answer help

 Feb 16, 2016
 #1
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3cos^2x+10cosx+3=0      factor as

 

(3cosx + 1) ( cosx + 3)   = 0   set  both factors to 0

 

The second factor  will have no solution

 

For the first factor we have......

 

3cosx + 1  = 0      subtract 1 from both sides

 

3cosx   = -1           divide both sides by 3

 

cosx = -1/3          take the cosine inverse

 

cos (-1/3)  = x  = about 109.47°  + n*2pi    where n is an integer

 

and at about   250.529° + n*2pi     where n is an integer

 

 

 

cool cool cool

 Feb 16, 2016

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