Question

Which of the following is a solution to the quadratic equation 2x2−9x=4
? Assume that the solution has been rounded to the nearest hundredth. if applicable.(1 point)

x=4.77


x=−0.77


x=−0.91


x=4.91

Answer 1

Solve 2x^2 − 9x − 4 = 0 using the quadratic formula:
x = [9 ± sqrt(81 + 32)] / 4 = [9 ± sqrt(113)] / 4 ≈ (9 ± 10.6301458)/4.

The two roots are ≈ 4.9075 and −0.4075. Rounded to the nearest hundredth the positive root is 4.91.

Answer: x = 4.91.