Respuesta :
Answer:
[tex]x=2\text{ or }x=-2[/tex]
Coordinates of the vertex of parabola are: (0,-8).
Step-by-step explanation:
We have been given an equation [tex]2x^2=8[/tex] and we are asked to find the solution of our given equation.
First of all let us divide both sides of our equation by 2.
[tex]\frac{2x^2}{2}=\frac{8}{2}[/tex]
[tex]x^2=4[/tex]
Upon taking square root of both sides of our equation we will get,
[tex]x=\sqrt{4}[/tex]
[tex]x=\pm 2[/tex]
[tex]x=2\text{ or }x=-2[/tex]
Therefore, the solutions for our given equation are [tex]x=2\text{ or }x=-2[/tex].
We can see from our attachment that the vertex of our parabola is at point (0,-8).
![Ver imagen ApusApus](https://us-static.z-dn.net/files/dea/df3eeb75081d8a1af993a003ee004f61.png)