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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. File:Completing the square.ogv - Wikipedia

    en.wikipedia.org/wiki/File:Completing_the_square.ogv

    Completing_the_square.ogv (Ogg Theora video file, length 1 min 9 s, 640 × 480 pixels, 758 kbps, file size: 6.22 MB) This is a file from the Wikimedia Commons . Information from its description page there is shown below.

  6. Almost 400 patients waiting for hospital beds - AOL

    www.aol.com/news/almost-400-patients-waiting...

    Almost 400 people are waiting for a hospital bed in Northern Ireland, BBC News NI understands. It is thought the majority of extra beds which are used in an emergency are already occupied.

  7. Factorization - Wikipedia

    en.wikipedia.org/wiki/Factorization

    A typical use of this is the completing the square method for getting the quadratic formula. Another example is the factorization of x 4 + 1. {\displaystyle x^{4}+1.} If one introduces the non-real square root of –1 , commonly denoted i , then one has a difference of squares x 4 + 1 = ( x 2 + i ) ( x 2 − i ) . {\displaystyle x^{4}+1=(x^{2 ...

  8. Times Square New Year's Eve ball unveiled for 2025 celebration

    www.aol.com/news/times-square-years-eve-ball...

    Organizers of the iconic New Year's Eve party in New York City screwed the last crystals onto the ball Friday atop One Times Square. The ball is covered with 2,688 Waterford crystal triangles of ...

  9. Golden Retriever Refusing to Listen During Training Gives ...

    www.aol.com/golden-retriever-refusing-listen...

    Being a responsible dog parent includes so much more than feeding and walking a pup. It takes a lot of adjustment and practice to master the basics of pet ownership, including nutrition, mental ...