Exploration.

Enter the cubic equation.

[Graphics:../Images/ComplexNumberOrigin_gr_88.gif]


[Graphics:../Images/ComplexNumberOrigin_gr_89.gif]

 

 

Enter the solution for the cubic equation.

 

 

[Graphics:../Images/ComplexNumberOrigin_gr_90.gif]
[Graphics:../Images/ComplexNumberOrigin_gr_91.gif]


Use the Ferro-Tartaglia formula  [Graphics:../Images/ComplexNumberOrigin_gr_92.gif]  and verify that  z  it is a solution.

[Graphics:../Images/ComplexNumberOrigin_gr_93.gif]

[Graphics:../Images/ComplexNumberOrigin_gr_94.gif]

 

 

[Graphics:../Images/ComplexNumberOrigin_gr_95.gif]

[Graphics:../Images/ComplexNumberOrigin_gr_96.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) 2006 John H. Mathews, Russell W. Howell