Verified Answer :

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

Answer:

\(x=2\text{ or }x=-2\)

Coordinates of the vertex of parabola are: (0,-8).

Step-by-step explanation:

We have been given an equation \(2x^2=8\) 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.

\(\frac{2x^2}{2}=\frac{8}{2}\)

\(x^2=4\)

Upon taking square root of both sides of our equation we will get,

\(x=\sqrt{4}\)

\(x=\pm 2\)

\(x=2\text{ or }x=-2\)

Therefore, the solutions for our given equation are \(x=2\text{ or }x=-2\).

We can see from our attachment that the vertex of our parabola is at point (0,-8).

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