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Learn what a cube root is, how to find it for real and complex numbers, and how to use it in mathematics and geometry. The cube root symbol is √, and the cube root of a number x is a number y such that y3 = x.
Learn about the origins and solutions of cubic equations, which are equations of the form ax3 + bx2 + cx + d = 0. Find out how ancient and medieval mathematicians from different cultures approached and solved cubic equations using algebra, geometry, and numerical approximations.
In numerical analysis, Halley's method is a root-finding algorithm used for functions of one real variable with a continuous second derivative. Edmond Halley was an English mathematician and astronomer who introduced the method now called by his name.
A cubic function is a polynomial function of degree three that maps real or complex numbers to real or complex numbers. Learn how to graph a cubic function, its critical and inflection points, its symmetry, and its classification into three types.
Vieta's formulas relate the coefficients of a polynomial to sums and products of its roots. They are named after François Viète, a 16th-century French mathematician, and have applications in algebra and number theory.
Learn what an nth root of a number is, how to write it using exponentiation or radical notation, and how to perform arithmetic operations with it. Find out the history, identities and properties of nth roots, and see examples of square roots and cube roots.
A nested radical is a radical expression that contains another radical expression. Learn how to denest some nested radicals, such as two nested square roots, and how they appear in trigonometry, cubic equations, and infinitely nested radicals.
The rational root theorem states a constraint on rational solutions of a polynomial equation with integer coefficients. It is used to find all rational roots of a polynomial, if any, and is a special case of Gauss's lemma on the factorization of polynomials.
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