College Algebra CLEP Prep Practice Exam

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Use the quadratic formula to solve the equation x2 + 5x - 14 = 0

x = 4, -3
x = 7, -2
x = 3, -4
x = 2, -7

The correct answer is: x = 7, -2

The quadratic formula is used to solve equations of the form ax^2 + bx + c = 0. In this case, the equation given is already in the correct format with a=1, b=5, and c=-14. When we plug these values into the formula, we get x = (-5 ± √(5^2 - 4(1)(-14)))/2(1) = (-5 ± √89)/2. This means that x can equal either -5+√89)/2 or (-5-√89)/2, which simplifies to approximately 7 or -2 as shown in option B. Options A, C, and D are incorrect because they do not result in the correct solutions when plugged back into the original equation. This shows the importance of carefully using the quadratic formula with all three parts of the