SOLUTION: Find, to the nearest degree, all values of x in the interval 0� ≤ x ≤ 360� that satisfy the equation 3 cos 2x + cos x + 2 = 0. I need your help please! I tried, but

Question 389103: Find, to the nearest degree, all values of x in the interval 0� ≤ x ≤ 360� that satisfy the equation 3 cos 2x + cos x + 2 = 0.
I need your help please! I tried, but unable to come up with an answer.
Thanks
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Use the trig identity,

So then,

and then,

Use a substitution,
Let

You can factor this quadratic or solve it using the quadratic formula.
Once you have the solution for , back substitute and find .

RELATED QUESTIONS
Find, to the nearest degree, all values of x in the interval 0� ≤ x ≤ 360�... (answered by Edwin McCravy)

Find all values of θ in the interval 0 ≤ θ≤ 360�that satisfy the... (answered by lwsshak3)

Find to the nearest degree, all values of X in the interval 0�≤X≤360� which... (answered by lwsshak3)

find to the nearest degree, all values of x between 0 degrees and 360 degrees that... (answered by robertb)

1)Find all real numbers that satisfy the equation: cos x = square root 3 / 2. 2)Solve... (answered by lynnlo)

To the nearest degree, the values of x in the interval 0� ≤ x < 360� that satisfy... (answered by KMST)

Find the values of x in the interval 0� ≤ x ≤ 360� for which sin(x) =... (answered by lwsshak3)

Find all values of θ, to the nearest degree, that satisfy the equation 7cos... (answered by lwsshak3)

Find all values of x in the interval 0 degreesis less than or equal to x wich is less... (answered by jsmallt9)

SOLUTION: Find, to the nearest degree, all values of x in the interval 0� &#8804; x &#8804; 360� that satisfy the equation 3 cos 2x + cos x + 2 = 0. I need your help please! I tried, but

SOLUTION: Find, to the nearest degree, all values of x in the interval 0� ≤ x ≤ 360� that satisfy the equation 3 cos 2x + cos x + 2 = 0. I need your help please! I tried, but