Question

Which of the following is a solution to the quadratic equation 2x2−5x=6
? Round your answer to the nearest hundredth. (1 point)
Responses

x=−0.89

x is equal to negative 0 point 8 9

x=1.03

x is equal to 1 point 0 3

x=0.89

x is equal to 0 point 8 9

x=−1.03

Answer 1

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

x = (5 ± √(25 + 48)) / 4 = (5 ± √73) / 4.

Numerically: x ≈ (5 + 8.544)/4 ≈ 3.386 (≈ 3.39) or x ≈ (5 − 8.544)/4 ≈ −0.886 (≈ −0.89).

So the matching choice is x = −0.89.