Respuesta :

2x^2=8
x^2=4
x=2 or x=-2
Hope this help

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).

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