Which of the following is a solution to the equation 5x^2-12=168? A. 6.75 B.-6 C.5 D.-5.59

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Which of the following is a solution to the equation 5x^2-12=168? A. 6.75 B.-6 C.5 D.-5.59

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Answer 1 · 2018-05-03T00:16:59

B. $x = - 6$ $x = -6$

Explanation:

We are given that $5 x^{2} - 12 = 168$ $5x^2 - 12 = 168$ . Adding $12$ $12$ to both sides yields $5 x^{2} = 180$ $5x^2 = 180$ . Dividing $5$ $5$ from both sides gives $x^{2} = 36$ $x^2 = 36$ .

We can now take the square root of both sides, making sure to add a $\pm$ $pm$ next to our radical. This gives $x = \pm \sqrt{36} = \pm 6$ $x = pm sqrt(36) = pm 6$ .

Thus, our solutions are $x = 6$ $x = 6$ and $x = - 6$ $x = -6$ . The latter solution corresponds to choice (B).

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Which of the following is a solution to the equation 5x^2-12=168? A. 6.75 B.-6 C.5 D.-5.59

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1 Answer

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