enow.com Web Search

Search results

  1. Results from the WOW.Com Content Network
  2. Vieta's formulas - Wikipedia

    en.wikipedia.org/wiki/Vieta's_formulas

    Vieta's formulas are then useful because they provide relations between the roots without having to compute them. For polynomials over a commutative ring that is not an integral domain, Vieta's formulas are only valid when a n {\displaystyle a_{n}} is not a zero-divisor and P ( x ) {\displaystyle P(x)} factors as a n ( x − r 1 ) ( x − r 2 ) …

  3. Quadratic formula - Wikipedia

    en.wikipedia.org/wiki/Quadratic_formula

    The roots of the quadratic function y = ⁠ 1 / 2 ⁠ x 2 − 3x + ⁠ 5 / 2 ⁠ are the places where the graph intersects the x-axis, the values x = 1 and x = 5. They can be found via the quadratic formula. In elementary algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation.

  4. Viète's formula - Wikipedia

    en.wikipedia.org/wiki/Viète's_formula

    In Viète's formula, the numbers of terms and digits are proportional to each other: the product of the first n terms in the limit gives an expression for π that is accurate to approximately 0.6n digits. [4] [15] This convergence rate compares very favorably with the Wallis product, a later infinite product formula for π.

  5. Cubic equation - Wikipedia

    en.wikipedia.org/wiki/Cubic_equation

    This allows computing the multiple root, and the third root can be deduced from the sum of the roots, which is provided by Vieta's formulas. A difference with other characteristics is that, in characteristic 2, the formula for a double root involves a square root, and, in characteristic 3, the formula for a triple root involves a cube root.

  6. Complex conjugate - Wikipedia

    en.wikipedia.org/wiki/Complex_conjugate

    This can be shown using Euler's formula. The product of a complex number and its conjugate is a real number: + (or in polar coordinates). If a root of a univariate polynomial with real coefficients is complex, then its complex conjugate is also a root.

  7. Quadratic equation - Wikipedia

    en.wikipedia.org/wiki/Quadratic_equation

    Figure 4. Graphing calculator computation of one of the two roots of the quadratic equation 2x 2 + 4x − 4 = 0. Although the display shows only five significant figures of accuracy, the retrieved value of xc is 0.732050807569, accurate to twelve significant figures. A quadratic function without real root: y = (x − 5) 2 + 9.

  8. Ramanujan's sum - Wikipedia

    en.wikipedia.org/wiki/Ramanujan's_sum

    Let =. Then ζ q is a root of the equation x q − 1 = 0.Each of its powers, ,, …,, = = is also a root. Therefore, since there are q of them, they are all of the roots. The numbers where 1 ≤ n ≤ q are called the q-th roots of unity.

  9. Quartic equation - Wikipedia

    en.wikipedia.org/wiki/Quartic_equation

    In mathematics, a quartic equation is one which can be expressed as a quartic function equaling zero. The general form of a quartic equation is Graph of a polynomial function of degree 4, with its 4 roots and 3 critical points.