Final answer:
To solve the quadratic equation 9u² - 11u + 7 = 0 using the quadratic formula, rearrange the equation in the form of ax² + bx + c = 0. Then, plug the values of a, b, and c into the quadratic formula and calculate the solutions.
Step-by-step explanation:
To solve the quadratic equation 9u² - 11u + 7 = 0 using the quadratic formula, we need to rearrange the equation in the form of ax² + bx + c = 0.
Comparing the given equation with the quadratic form, we have a = 9, b = -11, and c = 7.
Plugging these values into the quadratic formula, we get:
u = (-b ± √(b² - 4ac)) / 2a
Calculating the values using the formula, we find the solutions to be:
u = (11 ± √(11² - 4 * 9 * 7)) / (2 * 9)
u = (11 ± √(121 - 252)) / 18
u = (11 ± √(-131)) / 18