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  2. Simplification - Wikipedia

    en.wikipedia.org/wiki/Simplification

    Simplification is the process of replacing a mathematical expression by an equivalent one that is simpler (usually shorter), according to a well-founded ordering. Examples include:

  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. Polynomial decomposition - Wikipedia

    en.wikipedia.org/wiki/Polynomial_decomposition

    the roots of this irreducible polynomial can be calculated as [5] 1 ± 2 1 / 6 , 1 ± − 1 ± 3 i 2 1 / 3 . {\displaystyle 1\pm 2^{1/6},1\pm {\frac {\sqrt {-1\pm {\sqrt {3}}i}}{2^{1/3}}}.} Even in the case of quartic polynomials , where there is an explicit formula for the roots, solving using the decomposition often gives a simpler form.

  5. Napier's bones - Wikipedia

    en.wikipedia.org/wiki/Napier's_bones

    Napier's bones for 4, 2, and 5 are placed into the board, in sequence. These bones show the larger figure which will be multiplied. These bones show the larger figure which will be multiplied. The numbers lower in each column, or bone, are the digits found by ordinary multiplication tables for the corresponding integer, positioned above and ...

  6. How the national debt affects personal debt - AOL

    www.aol.com/finance/national-debt-affects...

    Since the turn of the millennium, the U.S. national debt has grown from $5.6 trillion to $36 trillion. This means America currently owes $36 trillion to its creditors — around $106,000 per American.

  7. Automated invoice processing: A guide to simplifying AP - AOL

    www.aol.com/automated-invoice-processing-guide...

    Step 5—Test and train your team: Before rolling out the system company-wide, run tests to ensure everything functions as expected. Train your team to use the software effectively, emphasizing ...

  8. 1 + 2 + 4 + 8 + ⋯ - ⋯ - Wikipedia

    en.wikipedia.org/wiki/1_%2B_2_%2B_4_%2B_8_%2B_%E...

    In mathematics, 1 + 2 + 4 + 8 + ⋯ is the infinite series whose terms are the successive powers of two. As a geometric series , it is characterized by its first term, 1, and its common ratio , 2. As a series of real numbers it diverges to infinity , so the sum of this series is infinity.

  9. Debt consolidation vs. debt payoff vs. debt counseling: What ...

    www.aol.com/finance/debt-consolidation-vs-debt...

    It can take 3 to 5 or more years to complete programs Counseling requires a commitment to budgeting changes At a glance: Debt consolidation vs. debt payoff vs. debt counseling