Answer:
C. x = 1
Step-by-step explanation:
To solve this problem the best way is to use the quadratic formula. First make everything equal to 0 by adding 3 to both sides.
3x^2 - 6x + 3 = 0
The quadratic formula is: [tex]\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]. Substitute the values of a, b, and c into the formula. Keep in mind:
[tex]\frac{-(-6)\pm\sqrt{(-6)^2-4(3)(3)} }{2(3)} \rightarrow \frac{6\pm\sqrt{36-4(9)} }{6} \rightarrow \frac{6\pm\sqrt{0} }{6} \rightarrow \frac{1\pm0}{1} \rightarrow 1[/tex]
Therefore, x = 1.