The solution of the cubic equations. The depressed cubic equation has roots
Exploration.
Enter the depressed cubic equation.
The formulas for the roots are a little complicated.
(c) 2006 John H. Mathews, Russell W. Howell
![[Graphics:Images/FunTheoremAlgebraMod_gr_17.gif]](../Images/FunTheoremAlgebraMod_gr_17.gif){kind=small}
has roots![[Graphics:Images/FunTheoremAlgebraMod_gr_18.gif]](../Images/FunTheoremAlgebraMod_gr_18.gif){kind=small}
![[Graphics:Images/FunTheoremAlgebraMod_gr_19.gif]](../Images/FunTheoremAlgebraMod_gr_19.gif){kind=small}
![[Graphics:Images/FunTheoremAlgebraMod_gr_20.gif]](../Images/FunTheoremAlgebraMod_gr_20.gif){kind=small}
has roots![[Graphics:../Images/FunTheoremAlgebraMod_gr_21.gif]](../Images/FunTheoremAlgebraMod_gr_21.gif)
![[Graphics:../Images/FunTheoremAlgebraMod_gr_22.gif]](../Images/FunTheoremAlgebraMod_gr_22.gif)
![[Graphics:../Images/FunTheoremAlgebraMod_gr_23.gif]](../Images/FunTheoremAlgebraMod_gr_23.gif){kind=small}
are a little complicated.