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) Responses x=0.89 x equals 0.89 x=−1.03 x equals negative 1.03 x=−0.89 x equals negative 0.89 x=1.03 x equals 1.03

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) Responses x=0.89 x equals 0.89 x=−1.03 x equals negative 1.03 x=−0.89 x equals negative 0.89 x=1.03 x equals 1.03

Answer 1

To solve the quadratic equation 2x^2 - 5x = 6, we need to rearrange the equation to the form ax^2 + bx + c = 0. In this case, a = 2, b = -5, and c = -6.

Using the quadratic formula x = (-b ± √(b^2 - 4ac))/(2a), we can substitute the values:

x = (-(-5) ± √((-5)^2 - 4(2)(-6)))/(2(2))
x = (5 ± √(25 + 48))/4
x = (5 ± √73)/4

Rounding to the nearest hundredth, we have two solutions:
x ≈ 1.03 and x ≈ -0.89

Therefore, the correct solution is x ≈ 1.03.