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Advanced Math / Nonlinear equations in one variable and systems of equations in two variables 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 2 = 144 . Taking the square root of each side of this equation yields k=±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 .