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  2. Completing the square - Wikipedia

    en.wikipedia.org/wiki/Completing_the_square

    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] In terms of a new quantity ⁠ x − h {\displaystyle x-h} ⁠ , this expression is a quadratic polynomial with no linear term.

  3. Quadratic formula - Wikipedia

    en.wikipedia.org/wiki/Quadratic_formula

    To complete the square, form a squared binomial on the left-hand side of a quadratic equation, from which the solution can be found by taking the square root of both sides. The standard way to derive the quadratic formula is to apply the method of completing the square to the generic quadratic equation ⁠ a x 2 + b x + c = 0 {\displaystyle ...

  4. Quadratic equation - Wikipedia

    en.wikipedia.org/wiki/Quadratic_equation

    This "completes the square", converting the left side into a perfect square. Write the left side as a square and simplify the right side if necessary. Produce two linear equations by equating the square root of the left side with the positive and negative square roots of the right side. Solve each of the two linear equations.

  5. Exercise (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Exercise_(mathematics)

    Another exercise is completing the square in a quadratic polynomial. An artificially produced word problem is a genre of exercise intended to keep mathematics relevant. Stephen Leacock described this type: [1]

  6. Difference of two squares - Wikipedia

    en.wikipedia.org/wiki/Difference_of_two_squares

    Another geometric proof proceeds as follows: We start with the figure shown in the first diagram below, a large square with a smaller square removed from it. The side of the entire square is a, and the side of the small removed square is b. The area of the shaded region is . A cut is made, splitting the region into two rectangular pieces, as ...

  7. Philadelphia Eagles legend Bill Bergey dies at 79 - AOL

    www.aol.com/philadelphia-eagles-legend-bill...

    Legendary Philadelphia Eagles linebacker Bill Bergey has died at age 79, his son, Jake, wrote in a post on X on Wednesday morning.. According to that same post, Bergey waged a three-year battle ...

  8. The 6 best and 6 worst celebrity Christmas albums - AOL

    www.aol.com/news/6-best-6-worst-celebrity...

    Every year, celebrities try to capitalize on the holiday season by releasing festive music. Singers like Mariah Carey, Ariana Grande, and Michael Bublé managed to perfect the cheesy art form ...

  9. Mary A. Tolan - Pay Pals - The Huffington Post

    data.huffingtonpost.com/paypals/mary-a-tolan

    From January 2008 to August 2008, if you bought shares in companies when Mary A. Tolan joined the board, and sold them when she left, you would have a -13.1 percent return on your investment, compared to a -11.9 percent return from the S&P 500.

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