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  2. Quadratic formula - Wikipedia

    en.wikipedia.org/wiki/Quadratic_formula

    The quadratic formula can equivalently be written using various alternative expressions, for instance = (), which can be derived by first dividing a quadratic equation by ⁠ ⁠, resulting in ⁠ + + = ⁠, then substituting the new coefficients into the standard quadratic formula.

  3. Quadratic equation - Wikipedia

    en.wikipedia.org/wiki/Quadratic_equation

    In mathematics, a quadratic equation (from Latin quadratus 'square') is an equation that can be rearranged in standard form as [1] + + =, where the variable x represents an unknown number, and a, b, and c represent known numbers, where a ≠ 0. (If a = 0 and b ≠ 0 then the equation is linear, not quadratic

  4. Completing the square - Wikipedia

    en.wikipedia.org/wiki/Completing_the_square

    Animation depicting the process of completing the square. (Details, animated GIF version)In elementary algebra, completing the square is a technique for converting a quadratic polynomial of the form ⁠ + + ⁠ to the form ⁠ + ⁠ for some values of ⁠ ⁠ and ⁠ ⁠. [1]

  5. Equation solving - Wikipedia

    en.wikipedia.org/wiki/Equation_solving

    In the simple case of a function of one variable, say, h(x), we can solve an equation of the form h(x) = c for some constant c by considering what is known as the inverse function of h. Given a function h : A → B, the inverse function, denoted h −1 and defined as h −1 : B → A, is a function such that

  6. Polynomial - Wikipedia

    en.wikipedia.org/wiki/Polynomial

    When the denominator b(x) is monic and linear, that is, b(x) = x − c for some constant c, then the polynomial remainder theorem asserts that the remainder of the division of a(x) by b(x) is the evaluation a(c). [18] In this case, the quotient may be computed by Ruffini's rule, a special case of synthetic division. [20]

  7. Obama vs. Romney Electoral Map - elections.huffingtonpost.com

    elections.huffingtonpost.com/2012/romney-vs...

    Maps and electoral vote counts for the 2012 presidential election. Our latest estimate has Obama at 332 electoral votes and Romney at 191.

  8. Difference of two squares - Wikipedia

    en.wikipedia.org/wiki/Difference_of_two_squares

    The smaller piece, at the bottom, has width a-b and height b. Now the smaller piece can be detached, rotated, and placed to the right of the larger piece. In this new arrangement, shown in the last diagram below, the two pieces together form a rectangle, whose width is a + b {\displaystyle a+b} and whose height is a − b {\displaystyle a-b} .

  9. Two envelopes problem - Wikipedia

    en.wikipedia.org/wiki/Two_envelopes_problem

    Step 7 states that the expected value in B = 1/2(2A + A/2). It is pointed out that the 'A' in the first part of the formula is the expected value, given that envelope A contains less than envelope B, but the 'A', in the second part of the formula is the expected value in A, given that envelope A contains more than envelope B.