College Algebra CLEP Prep Practice Exam

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Prepare for the College Algebra CLEP exam with our comprehensive quiz. Our engaging questions, hints, and detailed explanations will help ensure you're ready to ace your test and earn college credit faster!

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How many solutions are present in the equation 5x2 - 17x + 2 = 0?

  1. 0

  2. 1

  3. 2

  4. 3

The correct answer is: 2

The equation in this question is a quadratic equation in the form of ax^2 + bx + c = 0 where a = 5, b = -17, and c = 2. One way to determine the number of solutions in a quadratic equation is by using the discriminant, which is the expression under the square root in the quadratic formula. In this equation, the discriminant is 17^2 - 4(5)(2) = 289 - 40 = 249. Since the discriminant is positive and not a perfect square, this indicates that there are two distinct solutions for x. This eliminates options A, B, and D because they only have 0, 1, and 3 as solutions respectively. Therefore, the correct answer is C.

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