College Algebra CLEP Prep Practice Exam

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What value of x will satisfy the equation 2x2 + 7x - 6 = 0?

  1. -2

  2. 3

  3. 2

  4. -3

The correct answer is: 2

When solving a quadratic equation, we can use the quadratic formula (-b ± √(b^2-4ac)) / 2a to find the values of x. In this case, a = 2, b = 7, and c = -6. Plugging these values into the formula, we get (-7 ± √(7^2-4(2)(-6))) / 2(2), which simplifies to (-7 ± √(49+48)) / 4, then (-7 ± √97) / 4. The square root of 97 is approximately 9.85, so we get two solutions (-7 + 9.85)/4 ≈ 0.96 and (-7 - 9.85)/4 ≈ -4.96. Only the positive value of x is a

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