Question

How do you solve `3x^2-8=0` graphically?

Answer 1

Graphical approach....

`x approx pm 1.63`

Explanation:

So an alternative way of solving this is graphically,

The solution to this problem is hence were the function,
`y = 3x^2 - 8` and `y = 0` intersect

So we can now sketch the two functions, we can grpah the line `y=0`, this is just the `x` - axis, then sketch the curve, `y = 3x^2 -8`, there is a few ways of doing this, one being by plotting many diffiferent points over a particular domain:

We can see by plotting a few points, that where they intersect is
`x approx pm 1.63`

This is just a method without using calculator and just graphical approaches.

But the actuall answer is `x = pm sqrt( 8/3) = pm (2sqrt(6))/3`

You can see this in the other answer provided...