College Algebra CLEP Prep Practice Exam

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Which of the following equations has only positive real roots?

  1. x2 - 3x - 4 = 0

  2. x2 + 4x = 0

  3. x2 - 4x = 0

  4. x2 + 3x - 4 = 0

The correct answer is: x2 - 4x = 0

This equation has only positive real roots because both coefficients of x are negative, therefore the product of these roots must be positive. In the other options, either one or both coefficients of x are positive, which would result in at least one negative root. For example, in options A and D, the constant term is negative, which means one root would be negative. In option B, the coefficient of x is positive, which means one root would be negative.

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