Question

Which of the following is a solution to the quadratic equation 2x2−5x=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.

The two roots are (5 + √73)/4 ≈ 3.386 and (5 − √73)/4 ≈ −0.886, which rounds to −0.89.

Answer: x = −0.89.