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  2. Cubic equation - Wikipedia

    en.wikipedia.org/wiki/Cubic_equation

    This means that only one cube root needs to be computed, and leads to the second formula given in § Cardano's formula. The other roots of the equation can be obtained by changing of cube root, or, equivalently, by multiplying the cube root by each of the two primitive cube roots of unity , which are − 1 ± − 3 2 . {\displaystyle {\frac {-1 ...

  3. Cube (algebra) - Wikipedia

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

    The cube of a number or any other mathematical expression is denoted by a superscript 3, for example 2 3 = 8 or (x + 1) 3. The cube is also the number multiplied by its square: n 3 = n × n 2 = n × n × n. The cube function is the function x ↦ x 3 (often denoted y = x 3) that maps a number to its cube. It is an odd function, as

  4. Cube - Wikipedia

    en.wikipedia.org/wiki/Cube

    The cube can be represented as the cell, and examples of a honeycomb are cubic honeycomb, order-5 cubic honeycomb, order-6 cubic honeycomb, and order-7 cubic honeycomb. [47] The cube can be constructed with six square pyramids, tiling space by attaching their apices. [48] Polycube is a polyhedron in which the faces of many cubes are attached.

  5. Completing the square - Wikipedia

    en.wikipedia.org/wiki/Completing_the_square

    Completing the cube is a similar technique that allows to transform a cubic polynomial into a cubic polynomial without term of degree two. More precisely, if + + + is a polynomial in x such that , its two first terms are the two first terms of the expanded form of

  6. 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

  7. Accumulating more money: The formula applied in 2025 - AOL

    www.aol.com/finance/critical-formula-transform...

    The formula we’re about to share isn’t the actual treasure; it’s only the key. You could call it the “cash flow” formula. Here’s how it goes: Income minus Expenses minus Debt = Cash Flow.

  8. Cubic function - Wikipedia

    en.wikipedia.org/wiki/Cubic_function

    The solutions of this equation are the x-values of the critical points and are given, using the quadratic formula, by =. The sign of the expression Δ 0 = b 2 – 3ac inside the square root determines the number of critical points. If it is positive, then there are two critical points, one is a local maximum, and the other is a local minimum.

  9. World Cup 2014 - Ghana vs. USA | The Huffington Post

    data.huffingtonpost.com/2014/world-cup-uk/...

    Toggle navigation World Cup 2014. Fixtures. Round of 16. June 28 Brazil 1(3) - Chile 1(2)