College Algebra CLEP Prep Practice Exam

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How many real solutions does the equation 3x^2 + 8x + 7 = 0 have?

  1. 0

  2. 1

  3. 2

  4. 3

The correct answer is: 2

The equation is in the standard form of a quadratic equation (ax^2 + bx + c = 0) and the solutions of quadratic equations are typically found by factoring, completing the square, or using the quadratic formula. In this equation, the discriminant (b^2 - 4ac) is equal to 8^2 - 4(3)(7) = 16, indicating that the equation has two distinct real solutions. Options A and D are incorrect because they do not represent the number of solutions for this equation. Option B is incorrect because although the discriminant is positive, the equation still has two real solutions, rather than just one. Therefore, option C is the correct answer.

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