Question

Solve x2 + 2 = 6 by graphing the related function.

Answer 1

`x=-2,x=2`

Explanation:

we have

`x^(2)+2=6`

we know that

The solution of the function is equivalent to solve the following system of equations

`y=x^(2)+2` ------> equation A

`y=6` ------> equation B

The x-coordinate of the intersection point both graphs is the solution of the given function

Using a graphing tool

see the attached figure

The intersection points are
`(-2,6)` and
`(2,6)`

therefore

The solution of the given function are

`x=-2,x=2`

Answer 2

Solve x2 + 2 = 6 by graphing the related function. x^2 + 2 is a parabola with a vertex at the point (0, 2). When x = -1 or x = 1, then x^2 + 2 = 3, so we should put the points (-1,3) and (1,3) on the graph. When x = -2 or x = 2, then x^2 + 2 = 6, so we should put the points (-2,6) and (2,6) on the graph. We could continue adding points to the graph if we want, but we already have our two solutions. x^2 + 2 = 6 when x = -2 or x = 2. Therefore, x = -2, and x = 2 are the two solutions to this equation.