[tex]3 {x}^{2} - 4x - 4 = 0[/tex]
[tex]a = 3[/tex]
[tex]b = - 4[/tex]
[tex]c = - 4[/tex]
[tex]\Delta = {b}^{2} - 4ac[/tex]
[tex]\Delta = {( - 4)}^{2} - 4 \times 3 \times ( - 4)[/tex]
[tex]\Delta = 16 + 48[/tex]
[tex]\Delta = 64 > 0 = > \exists \: x_{1} \: \neq \: x_{2}[/tex]
[tex]x_{1,2}=\frac{-b\pm\sqrt{\Delta}}{2a}[/tex]
[tex]x_{1,2}=\frac{-( - 4)\pm\sqrt{64}}{2 \times 3}[/tex]
[tex]x_{1,2}=\frac{4\pm8}{6}[/tex]
[tex]x_{1}=\frac{4 + 8}{6}[/tex]
[tex]x_{1}=\frac{12}{6}[/tex]
[tex]x_{1}=2[/tex]
[tex]x_{2}=\frac{4 - 8}{6}[/tex]
[tex]x_{2}= - \frac{4}{6}[/tex]
[tex]x_{2}= - \frac{2}{3}[/tex]
