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Cubical Hyperbola


CubicalHyperbola

An equation of the form

 y=ax^3+bx^2+cx+d,
(1)

where the three roots are real and distinct, i.e.,

y=a(x-r_1)(x-r_2)(x-r_3)
(2)
=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].
(3)

See also

Cubical Ellipse, Cubical Parabola, Hyperbola

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Cite this as:

Weisstein, Eric W. "Cubical Hyperbola." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CubicalHyperbola.html

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