Answer:
x = 6 + 2√3 and x = 6 - 2√3
Explanation:
3x^2-6x+2=0 is a quadratic equation, for which a = 3, b = -6 and c = 2.
The discriminant is b² - 4ac, which here is (-6)² - 4(3)(2) = 36 - 24 = 12.
Because the discriminant is positive, this quadratic has two different, real roots.
They are:
-(-6) ± √12 6 ± 2√3
x = ------------------ = --------------- or
2(3) 6
x = 6 + 2√3 and x = 6 - 2√3