You can put this solution on YOUR website! The following shows the graph for y = x^2 - 12x + 36
The solution to the equation x^2 - 12x + 36 = 0 are the points where the graph cuts the x axis.
In the above fig, we find that the graph touches the x axis at only one point namely 6.
Thus x = 6 is the only solution for the given graph.