What are the solutions of the equation 18x^2 - 25x - 3 = 0?
A. -1/9,3/2
B. 9, 3/2
C. -9,2/3
D. 1/9, -3/2
(9x+1)(2x-3) = 0
To find the solutions of the equation 18x^2 - 25x - 3 = 0, we can use the quadratic formula.
The quadratic formula states that for an equation in the form ax^2 + bx + c = 0, the solutions for x can be found using the formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = 18, b = -25, and c = -3. Plugging these values into the quadratic formula, we get:
x = (-(-25) ± √((-25)^2 - 4 * 18 * (-3))) / (2 * 18)
x = (25 ± √(625 + 216)) / 36
x = (25 ± √841) / 36
Simplifying √841, we get:
x = (25 ± 29) / 36
Now we have two possible solutions:
1. x = (25 + 29) / 36 = 54 / 36 = 3/2
2. x = (25 - 29) / 36 = -4 / 36 = -1/9
Therefore, the solutions of the equation 18x^2 - 25x - 3 = 0 are: A. -1/9, 3/2.