Question
What are the solutions of the quadratic equation?
4x^2−9x−9=0
4x^2−9x−9=0
Answers
GPT 3.5
The solutions of the quadratic equation 4x^2 - 9x - 9 = 0 can be found using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
In this equation, a = 4, b = -9, and c = -9. Plugging these values into the formula:
x = (9 ± √((-9)^2 - 4*4*(-9))) / 2*4
x = (9 ± √(81 + 144)) / 8
x = (9 ± √225) / 8
x = (9 ± 15) / 8
So the solutions of the quadratic equation 4x^2 - 9x - 9 = 0 are:
x1 = (9 + 15) / 8 = 24 / 8 = 3
x2 = (9 - 15) / 8 = -6 / 8 = -0.75
Therefore, the solutions are x = 3 and x = -0.75.
x = (-b ± √(b^2 - 4ac)) / 2a
In this equation, a = 4, b = -9, and c = -9. Plugging these values into the formula:
x = (9 ± √((-9)^2 - 4*4*(-9))) / 2*4
x = (9 ± √(81 + 144)) / 8
x = (9 ± √225) / 8
x = (9 ± 15) / 8
So the solutions of the quadratic equation 4x^2 - 9x - 9 = 0 are:
x1 = (9 + 15) / 8 = 24 / 8 = 3
x2 = (9 - 15) / 8 = -6 / 8 = -0.75
Therefore, the solutions are x = 3 and x = -0.75.