College Algebra CLEP Prep Practice Exam

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What is the solution for x in the equation 2x2 + 3x - 6 = 0?

x = -2
x = 2
x = 3
x = -3

The correct answer is: x = -2

To solve this equation, we need to use the quadratic formula, which is x = (-b ± √(b2-4ac)) / 2a. In this equation, a = 2, b = 3, and c = -6. Plugging those values in, we get x = (-3 ± √(9+48)) / 4. Simplifying, we get x = (-3 ± √57) / 4. From here, we can see that the solutions are x = -(3/4) ± √(57)/4. Since the square root of 57 is not a perfect square, the solutions will be irrational. However, when we simplify further, we can see that the only rational solution is when x = -2. The other options