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  2. Equating coefficients - Wikipedia

    en.wikipedia.org/wiki/Equating_coefficients

    A similar problem, involving equating like terms rather than coefficients of like terms, arises if we wish to de-nest the nested radicals + to obtain an equivalent expression not involving a square root of an expression itself involving a square root, we can postulate the existence of rational parameters d, e such that

  3. Solving quadratic equations with continued fractions - Wikipedia

    en.wikipedia.org/wiki/Solving_quadratic...

    By applying the fundamental recurrence formulas we may easily compute the successive convergents of this continued fraction to be 1, 3/2, 7/5, 17/12, 41/29, 99/70, 239/169, ..., where each successive convergent is formed by taking the numerator plus the denominator of the preceding term as the denominator in the next term, then adding in the ...

  4. Factorization - Wikipedia

    en.wikipedia.org/wiki/Factorization

    For example, 3 × 5 is an integer factorization of 15, and (x – 2)(x + 2) is a polynomial factorization of x 2 – 4. Factorization is not usually considered meaningful within number systems possessing division , such as the real or complex numbers , since any x {\displaystyle x} can be trivially written as ( x y ) × ( 1 / y ) {\displaystyle ...

  5. 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.

  6. Quadratic form - Wikipedia

    en.wikipedia.org/wiki/Quadratic_form

    In "twos in", binary quadratic forms are of the form ax 2 + 2bxy + cy 2, represented by the symmetric matrix This is the convention Gauss uses in Disquisitiones Arithmeticae. In "twos out", binary quadratic forms are of the form ax 2 + bxy + cy 2 , represented by the symmetric matrix ( a b / 2 b / 2 c ) . {\displaystyle {\begin{pmatrix}a&b/2\\b ...

  7. George Stubbs dog painting expected to sell for up to $2.5 ...

    www.aol.com/george-stubbs-dog-painting-expected...

    A painting by British artist George Stubbs is expected to sell for up to £2 million ($2.5 million) in London next week, as it comes to auction for the first time in more than 50 years.. The 18th ...

  8. Her daughter's suicide shocked the community. Now, she's ...

    www.aol.com/her-daughters-suicide-shocked...

    Editor’s note: This article discusses suicide and suicidal ideation. If you or someone you know is struggling or in crisis, help is available. Call or text 988 or chat at 988lifeline.org ...

  9. Polynomial - Wikipedia

    en.wikipedia.org/wiki/Polynomial

    The names for the degrees may be applied to the polynomial or to its terms. For example, the term 2x in x 2 + 2x + 1 is a linear term in a quadratic polynomial. The polynomial 0, which may be considered to have no terms at all, is called the zero polynomial. Unlike other constant polynomials, its degree is not zero.