which value of x is a solution to this equation 3x^2 - 36x + 36 =0

Answer 1

The equation is 3x^2 - 36x + 36 = 0.

To find the value of x that is a solution to this equation, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

In this equation, a = 3, b = -36, and c = 36.

Plugging these values into the quadratic formula, we get:

x = (36 ± √((-36)^2 - 4*3*36)) / (2*3)

x = (36 ± √(1296 - 432)) / 6

x = (36 ± √864) / 6

x = (36 ± 29.39) / 6

Now, we can solve for x:

x = (36 + 29.39) / 6 = 65.39 / 6 = 10.898

x = (36 - 29.39) / 6 = 6.61 / 6 = 1.101

Therefore, the solutions to the equation are x = 1.101 and x = 10.898.