Arturo O. answered 07/05/16
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f(x)= -3x^2 + 3x + 3
-3x^2 + 3x + 3 = 0
Divide through by -3 to simplify the equation and get
x^2 - x - 1 = 0
Use the quadratic formula:
x = {-(-1) ± √[(-1)^2 - 4(-1)]} / 2
x = (1 ± √5) / 2
These are your two solutions, both real.