solve by graphing x^2-6x+5=0

To solve the equation x^2-6x+5=0 by graphing, we need to plot the graph of the equation and find the x-values where the graph intersects the x-axis.

To graph the equation, we can rewrite it as y = x^2-6x+5.

First, we create a table with x and y values:

x | y
-------
0 | 5
1 | 0
2 | -1
3 | 0

Plotting these points on a graph, we can now draw a curve that passes through them.

The graph looks like a "U" shape and intersects the x-axis at x=1 and x=5.

Therefore, the solutions to the equation x^2-6x+5=0 are x=1 and x=5.