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=−1.03


x=−0.89


x=0.89


x=1.03

Answer 1

2x^2 − 5x = 6 → 2x^2 − 5x − 6 = 0.
x = [5 ± sqrt(25 + 48)]/4 = [5 ± sqrt(73)]/4 ≈ (5 ± 8.544)/4.

This gives x ≈ 3.386 and x ≈ −0.886, so rounded to the nearest hundredth the listed solution is x = −0.89.