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

Dec 29, 2017

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,
$y = 3 {x}^{2} - 8$ 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, $y = 3 {x}^{2} - 8$, 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 $x = \pm \sqrt{\frac{8}{3}} = \pm \frac{2 \sqrt{6}}{3}$

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