The given quadratic equation is
x^2 - 6x + 8 = 0
It can be written as
y = x^2 - 6x + 8
We would substitute values of x into the equation and find corresponding values of y. We have
For x = - 1, y = -1^2 - 6(-1) + 8 = 15
For x = 0, y = 0^2 - 6(0) + 8 = 8
For x = 1, y = -1^2 - 6(11) + 8 = 3
The graph is shown below
The solutions are the values of x where the curve touches the x axis.
The solutions are
x = 2
x = 4