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A cube root of a number x is a number y such that y3 = x. Learn how to find cube roots of real and complex numbers, their geometric and algebraic representations, and their applications in mathematics and geometry.
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.
A cube is the third power of a number, denoted by a superscript 3. Learn about the cube function, the cube root, the cubic parabola, and the perfect cubes in integers and base ten.
This is because a cube of side length 1 has a volume of 1 3 = 1, and a cube of twice that volume (a volume of 2) has a side length of the cube root of 2. The impossibility of doubling the cube is therefore equivalent to the statement that is not a constructible number. This is a consequence of the fact that the coordinates of a new point ...
An nth root of a number x is a number r that, when raised to the power of n, yields x. The number x is called the radicand and the index or degree of the root is n. Learn more about the history, notation, properties and operations of nth roots.
A quadratic equation is a polynomial equation of degree two with one unknown. Learn how to solve it by factoring, completing the square, or using the quadratic formula, and see examples and applications.
A root of unity is a complex number that yields 1 when raised to some positive integer power n. Learn about the definition, properties, and examples of roots of unity in different fields and rings.
The imaginary unit i is a solution to the quadratic equation x2 + 1 = 0 and a fundamental part of complex numbers. Learn about its history, notation, representation, matrices, roots and applications in mathematics and engineering.