SOLUTION: To the nearest degree, the values of x in the interval 0° ≤ x < 360° that satisfy the equation 6 cos2 x – 7 cos x + 2 = 0 include all of the following except
a.)48
b.)60
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Question 598873: To the nearest degree, the values of x in the interval 0° ≤ x < 360° that satisfy the equation 6 cos2 x – 7 cos x + 2 = 0 include all of the following except
a.)48
b.)60
c.)132
4.)312
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
I vote for to be the choice that does not satisfy the equation.
I believe the equation was supposed to be
To solve it, I would make and solve
whose solutions are both positive.
Factoring, I get
with solutions and
so I am looking for values of x (obviously in degrees) that will give me
and
so satisfies the equation.
so so those two values must satisfy the equation if just one of the four choices does not.
I could verify to see if , but that would require a calculator.
Besides I know that while
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