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Cubical Parabolic Hyperbola


CubicalParabolicHyperbola

An equation of the form

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

where two of the roots of the equation coincide (and all three are therefore real), i.e.,

y=a(x-r_1)^2(x-r_2)
(2)
=a[x^3-(2r_1+r_2)x^2+r_1(r_1+2r_2)x-r_1^2r_2].
(3)

See also

Cubical Ellipse, Cubical Hyperbola, Cubical Parabola, Hyperbola

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Cite this as:

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

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