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Advanced Math Difficulty: Easy

$k^{2} - 53 = 91$

What is the positive solution to the given equation?

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Explanation

Choice D is correct. Adding $53$ to each side of the given equation yields $k squared equals 144$ . Taking the square root of each side of this equation yields $k = \pm 12$ . Therefore, the positive solution to the given equation is $12$ .

Choice A is incorrect. This is the positive solution to the equation $k^{2} - 53 = 20,683$ , not $k^{2} - 53 = 91$ .

Choice B is incorrect. This is the positive solution to the equation $k^{2} - 53 = 5,131$ , not $k^{2} - 53 = 91$ .

Choice C is incorrect. This is the positive solution to the equation $k^{2} - 53 = 1,391$ , not $k^{2} - 53 = 91$ .