Respuesta :

Solution:

Given the equation;

[tex]2x^2+8x+4=0[/tex]

Its solution is;

[tex]x=\frac{-8\pm\sqrt{32}}{4}[/tex]

Now, we would simplify this as;

[tex]\begin{gathered} x=\frac{-8\pm4\sqrt{2}}{4} \\ \\ x=\frac{4(-2\pm\sqrt{2})}{4} \\ \\ x=-2\pm\sqrt{2} \end{gathered}[/tex]

CORRECT OPTION: C