Respuesta :

its answer C

x=-2+2sqrt6/5 and x=-2-2sqrt6/5


Answer:

Step-by-step explanation:

Alright, lets get started.

The given equation is :

[tex]2(5x+2)^2=48[/tex]

If we divide it from 2 in both sides

[tex]\frac{2(5x+2)^2}{2}=\frac{48}{2}[/tex]

[tex](5x+2)^2=24[/tex]

Taking square root on both sides

[tex](5x+2)=[/tex]±24

[tex](5x+2)=[/tex]±2√6

Subtracting 2 in both sides

[tex]5x=[/tex]±2√6-2

Dividing 5 in both sides

[tex]x=\frac{2\sqrt{6}-2 }{5} or x=\frac{-2\sqrt{6}-2}{5}[/tex]  :  Answer

Hope it will help :)