Answer:
x = 3/2 + root(3)/2 or x = 3/2 - root(3)/2
In vertex form the equation is y = (x - 3/2)^2 + 3/4
Step-by-step explanation:
y = x^2 - 3x + 3
y = x^2 - 3x + 9/4 - 9/4 + 3
y = (x - 3/2)^2 + 3/4
I think you want to find the roots to the equation, right?
so
y = (x - 3/2)^2 + 3/4 = 0
(x - 3/2)^2 = -3/4
x - 3/2 = root(-3/4)
x = 3/2 + root(3)/2 or x = 3/2 - root(3)/2
