Respuesta :

Answer:

[tex] x = \frac{6 \pm \sqrt{(-6)^2 - 4(3)(8)}}{2(3)} [/tex]

Step-by-step explanation:

Given the equation, [tex] 3x^2 - 6x + 8 = 0 [/tex], the quadratic formula for solving this equation is given as:

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

Where,

a = 3

b = -6

c = 8

Plug in the above values into the quadratic formula.

[tex] x = \frac{-(-6) \pm \sqrt{(-6)^2 - 4(3)(8)}}{2(3)} [/tex]

[tex] x = \frac{6 \pm \sqrt{(-6)^2 - 4(3)(8)}}{2(3)} [/tex]