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)
Responses

x=0.89

x equals 0.89

x=−1.03

x equals negative 1.03

x=1.03

x equals 1.03

x=−0.89

x equals negative 0.89

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 roots are (5 + 8.544)/4 ≈ 3.39 and (5 − 8.544)/4 ≈ −0.886 ≈ −0.89.

Thus the correct choice is x = −0.89.