College Algebra CLEP Prep Practice Exam

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What is the value of x in the solution of the equation 4x2 - 16x + 11 = 0?

  1. 0

  2. 1

  3. 2

  4. 3

The correct answer is: 3

The value of x in the equation 4x2 - 16x + 11 = 0 can be found using the quadratic formula or factoring. In this case, if the equation is factored, it becomes (4x - 1)(x - 11) = 0. By setting each factor equal to 0 and solving for x, we get x = 1/4 or x = 11. However, only x = 11 satisfies the original equation, making D the correct answer. A, B, and C are incorrect because they do not satisfy the equation when substituted in. It is important to check all potential solutions in the original equation, as some may be extraneous roots. In this case, 1/4 is an extraneous root. Therefore, the correct value of x is 11, which can be obtained by plugging in

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