When solving a quadratic equation you have
0,1,2 solutions. What does this mean "graphically?
If there are no real solutions, the graph does not
cross the x axis. It would either look like something like this:
or like this
If there is just one real solution, the graph just touches but does
not cross the x axis. It would either look like something like this,
which has the one solution x = 1
or like this, whose one solution is x = 5
If there is just one real solution, the graph cross the x axis
twice. It would either look like something like this, whose
two solutions are x = 2 and x = 4:
or like this, which has the two solutions x=1 and x = 5
Edwin
