Question
Solve using the quadratic formula
9u^2+7u-5=0
9u^2+7u-5=0
Answers
GPT 3.5
To solve the quadratic equation 9u^2 + 7u - 5 = 0 using the quadratic formula, we first identify the coefficients a, b, and c from the standard form of a quadratic equation ax^2 + bx + c = 0.
In this case, a = 9, b = 7, and c = -5.
Now, we can plug these values into the quadratic formula:
u = (-b ± √(b^2 - 4ac)) / 2a
u = (-7 ± √(7^2 - 4*9*-5)) / 2*9
u = (-7 ± √(49 + 180)) / 18
u = (-7 ± √229) / 18
Therefore, the solutions to the quadratic equation 9u^2 + 7u - 5 = 0 are:
u = (-7 + √229) / 18
u = (-7 - √229) / 18
In this case, a = 9, b = 7, and c = -5.
Now, we can plug these values into the quadratic formula:
u = (-b ± √(b^2 - 4ac)) / 2a
u = (-7 ± √(7^2 - 4*9*-5)) / 2*9
u = (-7 ± √(49 + 180)) / 18
u = (-7 ± √229) / 18
Therefore, the solutions to the quadratic equation 9u^2 + 7u - 5 = 0 are:
u = (-7 + √229) / 18
u = (-7 - √229) / 18