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

Question

4779 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-12-14T00:41:10

#x = 0 or x = 3#

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

#y = x^2 - 3x#.

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 or x = 3#.