College Algebra CLEP Prep Practice Exam

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When solving the equation (x – 2)^2 = 36, what is the value of x?

The correct answer is: 10

When solving this equation, we first need to isolate the variable x by taking the square root of both sides. Since the equation is already in the form of a perfect square, we can take the square root of both sides without needing to further simplify the equation. √(x-2)^2=√36 |x-2|=6 Next, we need to solve for both the positive and negative values of x, so we need to set up two equations x-2=6 and x-2=-6 Solving for x in each equation, we get: x=8 and x=-4 However, the only value of x that satisfies the original equation is x=10. Therefore, the correct answer is C. Option A is incorrect because it does not take into account the negative solution of x=-4. Option B is incorrect because