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2. Cube (algebra) - Wikipedia

   en.wikipedia.org/wiki/Cube_(algebra)

   Cube (algebra) y = x3 for values of 1 ≤ x ≤ 25. In arithmetic and algebra, the cube of a number n is its third power, that is, the result of multiplying three instances of n together. The cube of a number or any other mathematical expression is denoted by a superscript 3, for example 23 = 8 or (x + 1)3. The cube is also the number ...

3. Cubic equation - Wikipedia

   en.wikipedia.org/wiki/Cubic_equation

   Here the function is and therefore the three real roots are 2, −1 and −4. In algebra, a cubic equation in one variable is an equation of the form in which a is not zero. The solutions of this equation are called roots of the cubic function defined by the left-hand side of the equation. If all of the coefficients a, b, c, and d of the cubic ...

4. Cube root - Wikipedia

   en.wikipedia.org/wiki/Cube_root

   Cube root. In mathematics, a cube root of a number x is a number y such that y3 = x. All nonzero real numbers have exactly one real cube root and a pair of complex conjugate cube roots, and all nonzero complex numbers have three distinct complex cube roots. For example, the real cube root of 8, denoted , is 2, because 23 = 8, while the other ...

5. Doubling the cube - Wikipedia

   en.wikipedia.org/wiki/Doubling_the_cube

   Doubling the cube, also known as the Delian problem, is an ancient [a][1]: 9 geometric problem. Given the edge of a cube, the problem requires the construction of the edge of a second cube whose volume is double that of the first. As with the related problems of squaring the circle and trisecting the angle, doubling the cube is now known to be ...

6. nth root - Wikipedia

   en.wikipedia.org/wiki/Nth_root

   th root. In mathematics, an nth root of a number x is a number r (the root) which, when raised to the power of the positive integer n, yields x: The integer n is called the index or degree, and the number x of which the root is taken is the radicand. A root of degree 2 is called a square root and a root of degree 3, a cube root.

7. Cubic function - Wikipedia

   en.wikipedia.org/wiki/Cubic_function

   Here the function is f(x) = (x3 + 3x2 − 6x − 8)/4. In mathematics, a cubic function is a function of the form that is, a polynomial function of degree three. In many texts, the coefficients a, b, c, and d are supposed to be real numbers, and the function is considered as a real function that maps real numbers to real numbers or as a complex ...

8. Sum of two cubes - Wikipedia

   en.wikipedia.org/wiki/Sum_of_two_cubes

   A Taxicab number is the smallest positive number that can be expressed as a sum of two positive integer cubes in n distinct ways. The smallest taxicab number after Ta (1) = 1, is Ta (2) = 1729, [4] expressed as. or. Ta (3), the smallest taxicab number expressed in 3 different ways, is 87,539,319, expressed as. , or.

9. Vieta's formulas - Wikipedia

   en.wikipedia.org/wiki/Vieta's_formulas

   Vieta's formulas can equivalently be written as for k = 1, 2, ..., n (the indices ik are sorted in increasing order to ensure each product of k roots is used exactly once). The left-hand sides of Vieta's formulas are the elementary symmetric polynomials of the roots. Vieta's system (*) can be solved by Newton's method through an explicit simple ...