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)
Responses

x=−0.77
x equals negative 0.77

x=4.91
x equals 4.91

x=4.77
x equals 4.77

x=−0.91

Answer 1

not the right answer

Answer 2

To find the solution to the quadratic equation 2x^2 - 9x = 4, we need to solve for x.

Rearranging the equation, we have 2x^2 - 9x - 4 = 0.

We can use the quadratic formula to find the solutions:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 2, b = -9, and c = -4.

Using the quadratic formula, the solutions are:

x = (-(-9) ± √((-9)^2 - 4(2)(-4))) / (2(2))
= (9 ± √(81 + 32)) / 4
= (9 ± √113) / 4

Rounded to the nearest hundredth, the solutions are:

x = (-0.77, 4.91)

Therefore, the correct solution is x = -0.77 or "x equals negative 0.77".

Answer 3

I apologize for the error in my previous response. Let's recalculate the solutions to the equation 2x^2 - 9x = 4.

Using the quadratic formula:

x = (-(-9) ± √((-9)^2 - 4(2)(-4))) / (2(2))
= (9 ± √(81 + 32)) / 4
= (9 ± √113) / 4

Rounded to the nearest hundredth:

x ≈ 4.77 and x ≈ -0.91

Therefore, the correct solutions to the equation 2x^2 - 9x = 4, rounded to the nearest hundredth, are:

x ≈ 4.77 and x ≈ -0.91