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=−1.03


x=0.89


x=−0.89


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 ≈ [5 ± 8.544]/4.

The negative root ≈ (5 − 8.544)/4 ≈ −0.886, rounded to −0.89. So x = −0.89.