Question

Which of the following is a solution to the quadratic equation 2x^2- 5x = 6? Assume that the solution has been rounded to the nearest hundredth, if applicable. (1 point)
x = 0.89
x = —0.89
x = -1.03
x = 1.03

Answer 1

Solve 2x^2 − 5x − 6 = 0. Using the quadratic formula:

x = [5 ± sqrt(25 + 48)]/4 = [5 ± sqrt(73)]/4.

sqrt(73) ≈ 8.544, so the two roots are (5 + 8.544)/4 ≈ 3.39 and (5 − 8.544)/4 ≈ −0.89.

Therefore the given solution is x = −0.89.