A quadratic equation can take two forms. The general formula, written as a function of x, y = f(x), is:
- y = ax2 + bx + c
The points where this curve crosses the x axis are represented by the second form of the equation:
- ax2 + bx + c = 0
These are solved for using the quadratic formula, which will not only solve for real roots, but result in the imaginary roots if the parabola does not actually cross the y axis (this is when 4ac is greater than b2).