In the 11th century, Omar Khayyam classified all known cubics and gave geometric solutions for them.[br]Shown here is one of his simpler cases, the solution of a cubic plus sides (linear term) equal to a number.[br][br]Amazingly, Khayyam did not have graphing to do this, but constructed his parabolas geometrically.[br][br]Luckily we have GeoGebra!
If you want to dig deeper into the algebra, the parabola is [math]y=\frac{x^2}{\sqrt{a}}[/math] and the circle is [math]x^2+y^2=\frac{bx}{a}[/math]