What are the solutions of the quadratic equation?4x2−9x−9=0
The solutions of the quadratic equation 4x^2 - 9x - 9 = 0 can be found by using the quadratic formula:
x = (-b ± √(b^2 - 4ac))/(2a)
For the given equation, the coefficients are a = 4, b = -9, and c = -9.
Substituting these values into the quadratic formula, we have:
x = (-(9) ± √((-9)^2 - 4(4)(-9)))/(2(4))
x = (9 ± √(81 + 144))/8
x = (9 ± √(225))/8
x = (9 ± 15)/8
This gives us two solutions:
x = (9 + 15)/8 = 24/8 = 3
x = (9 - 15)/8 = -6/8 = -3/4
Therefore, the solutions of the quadratic equation 4x^2 - 9x - 9 = 0 are x = 3 and x = -3/4.