Question

Which of the following is a solution to the quadratic equation −x2+x=−10
? Assume that the solution has been rounded to the nearest hundredth, if applicable.(1 point)
Responses

x=1.7
x equals 1.7

x=0.77
x equals 0.77

x=3.7
x equals 3.7

x=0.27

Answer 1

Solve: -x^2 + x = -10 → x^2 - x - 10 = 0.
x = [1 ± sqrt(1+40)]/2 = [1 ± sqrt(41)]/2 ≈ (1 ± 6.4031)/2.
Positive root ≈ 3.7016 ≈ 3.70, so x = 3.7.