Respuesta :

Answer:

[tex]\frac{3\±\sqrt{3}}{3}[/tex]

Step-by-step explanation:

Whe have the function [tex]3x^2-6x+2=0[/tex]

To solve this equation we must factor.

To factor, we need to find the points where the function is equal to zero. So we use the quadratic formula

[tex]\frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]

Where:

a = 3

b = -6

c = 2

Then

[tex]\frac{-(-6) + \sqrt{(-6)^2-4(3)(2)}}{2(3)} = \frac{3+\sqrt{3}}{3}\\\\and\\\\\frac{-(-6) - \sqrt{(-6)^2-4(3)(2)}}{2(3)}= \frac{3-\sqrt{3}}{3}[/tex]

finally the correct answer is  [tex]\frac{3\±\sqrt{3}}{3}[/tex]

just made this so the other person could get brainiest as a thanks.

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