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

Jun 11, 2018

$x = - 1 \mathmr{and} + 2$

#### Explanation:

To solve ${x}^{2} - x = 2$

Let $y = {x}^{2} - x - 2$

Then we are to solve $y = 0$

The graph of $y$ is below.

graph{ x^2-x-2 [-5.55, 5.55, -2.78, 2.77]}

From which we can see that $y = 0$ where $x = - 1 \mathmr{and} + 2$

Hence, the solution to our equation is $x = - 1 \mathmr{and} + 2$