solve the following using quadratic formula 2x^2 - 11x 12=0?
To solve the quadratic equation 2x^2 - 11x + 12 = 0 using the quadratic formula, you'll need to identify the coefficients a, b, and c in the general equation ax^2 + bx + c = 0. In this case, a = 2, b = -11, and c = 12.
The quadratic formula is given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
Now substitute the values of a, b, and c into the quadratic formula:
x = (−(−11) ± √((−11)^2 − 4(2)(12))) / 2(2)
x = (11 ± √(121 - 96)) / 4
x = (11 ± √25) / 4
x = (11 ± 5) / 4
This gives us two possible solutions for x:
1. x = (11 + 5) / 4 = 16 / 4 = 4
2. x = (11 - 5) / 4 = 6 / 4 = 1.5
Therefore, the solutions to the quadratic equation 2x^2 - 11x + 12 = 0 are x = 4 and x = 1.5.