Question

Use the guadratic formula to solve for x. 2x²-x-9=0 (if there is more than one solution, separate them with commas. )

Answer 1

-b+-sqrt(b^2-4ac)/2a

Step-by-step explanation:

1+-sqrt(1-4(2)(-9))/6

1+-sqrt(1+72)/6

1+-sqrt(73)/6

1+sqrt(73)/6, 1-sqrt(73)/6

Answer 2

To solve the quadratic equation 2x²-x-9=0 using the quadratic formula, first identify the values of a, b, and c. Then, plug the values into the quadratic formula and simplify to find the solutions for x.

Step-by-step explanation:

To solve the quadratic equation 2x²-x-9=0 using the quadratic formula, we first need to identify the values of a, b, and c. In this equation, a=2, b=-1, and c=-9. plugging these values into the quadratic formula x = (-b±√(b²-4ac))/(2a), we can solve for x.

Substituting the values of a, b, and c into the quadratic formula, we get:

x = (-(-1)±√((-1)²-4(2)(-9)))/(2(2))

Simplifying further:

x = (1±√(1+72))/4

Calculating the values of x:

x = (1±√73)/4

Therefore, the solutions to the quadratic equation 2x²-x-9=0 are x = (1+√73)/4 and x = (1-√73)/4.