The quadratic formula is used to solve a quadratic equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable.
Given an equation 25x^2 - 30x + 9 = 0, we can solve it using the quadratic formula as follows:
The quadratic formula is : x = (-b ± √(b^2 - 4ac)) / 2a
The values of a,b,c are:
a = 25, b = -30, c = 9
Now, we can substitute the values in the quadratic formula:
x = (-(-30) ± √((-30)^2 - 4(25)(9)))/2(25)
x = (30 ± √(900 - 900)) / 50
x = (30 ± √(0)) / 50
x = (30 ± 0) / 50
x = 30/50
x = 3/5 or x = -3/5
So the solutions of the equation 25x^2 - 30x + 9 = 0 are 3/5 and -3/5.