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Solve. Between [0, 2pi]
2cos^2x+7cosx+3=0

1 Answer

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Answer:

x = {2π/3, 4π/3}

Explanation:

The equation can be factored as ...

(cos(x) +3)(2cos(x) +1) = 0

The solutions are the values of x where the factors are zero.

cos(x) +3 = 0

cos(x) = -3 . . . . . . no real solution

__

2cos(x) +1 = 0

cos(x) = -1/2

x = arccos(-1/2) = 2π/3

The other solution in the desired interval is ...

x = 2π -(2π/3) = 4π/3

The solutions are x∈ {2π/3, 4π/3}.

Solve. Between [0, 2pi] 2cos^2x+7cosx+3=0-example-1
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