info prev up next book cdrom email home

Cubical Hyperbola

\begin{figure}\begin{center}\BoxedEPSF{CubicalHyperbola.epsf}\end{center}\end{figure}

An equation of the form

\begin{displaymath}
y=ax^3+bx^2+cx+d,
\end{displaymath}

where the three Roots are Real and distinct, i.e.,

\begin{eqnarray*}
y&=&a(x-r_1)(x-r_2)(x-r_3)\\
&=&a[x^3-(r_1+r_2+r_3)x^2+(r_1r_2+r_1r_3+r_2r_3)x-r_1r_2r_3].
\end{eqnarray*}



See also Cubical Conic Section, Cubical Ellipse, Cubical Hyperbola, Cubical Parabola, Hyperbola




© 1996-9 Eric W. Weisstein
1999-05-25