3 years ago

Barb is making a bead necklace she strings 1 white 3 blue then 1 white 3 blue

Mathematics

1 answer:

Dahasolnce [82]3 years ago

4 0

Then 1 white, then 3 blue then 1 white

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Which of the following is a solution to 2cos2x − cos x − 1 = 0?

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Answer:

Option A is correct.

Solution for the given equation is, $x = 0^{\circ}$

Step-by-step explanation:

Given that : $2\cos^2x -\cos x -1 =0$

Let $\cos x =y$

then our equation become;

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A quadratic equation is of the form:

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$x = \frac{-b\pm \sqrt{b^2-4ac}}{2a}$

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Simplify:

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$y = \frac{ 1 \pm \sqrt{9}}{4}$

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$y = \frac{1+3}{4}$ and $y = \frac{1 -3}{4}$

Simplify:

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and

$\cos x = -\frac{1}{2}$

⇒ $x = 120^{\circ} \text{and} x = 240^{\circ}$

The solution set: $\{0^{\circ}, 120^{\circ} , 240^{\circ}\}$

Therefore, the solution for the given equation $2\cos^2x -\cos x -1 =0$ is, $0^{\circ}$

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Answer:

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