# How do you solve the equation x^2-3x=0 by graphing?

Dec 14, 2017

$x = 0 \mathmr{and} x = 3$

#### Explanation:

If we wanted to graph the equation you posted we would replace the $0$ with $y$:

$y = {x}^{2} - 3 x$.

If we graphed the above equation, it would look something like this:

Now, previously we have repalced $y$ with $0$. That means that when $y = 0$ on the graph, $x$ is equal to the solution of the equation.
Therefore, if you find the $x$-coordinate of the $x$-intercept, that is the solution to the equation.
Thus, $x = 0 \mathmr{and} x = 3$.