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  2. Solving quadratic equations with continued fractions - Wikipedia

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

    Denoting the two roots by r 1 and r 2 we distinguish three cases. If the discriminant is zero the fraction converges to the single root of multiplicity two. If the discriminant is not zero, and |r 1 | ≠ |r 2 |, the continued fraction converges to the root of maximum modulus (i.e., to the root with the greater absolute value).

  3. Equating coefficients - Wikipedia

    en.wikipedia.org/wiki/Equating_coefficients

    The unique pair of values a, b satisfying the first two equations is (a, b) = (1, 1); since these values also satisfy the third equation, there do in fact exist a, b such that a times the original first equation plus b times the original second equation equals the original third equation; we conclude that the third equation is linearly ...

  4. Clearing denominators - Wikipedia

    en.wikipedia.org/wiki/Clearing_denominators

    The first step is to determine a common denominator D of these fractions – preferably the least common denominator, which is the least common multiple of the Q i. This means that each Q i is a factor of D, so D = R i Q i for some expression R i that is not a fraction. Then

  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. Is it possible to retire comfortably on Social Security alone ...

    www.aol.com/possible-retire-comfortably-social...

    They draw $3,890 a month from Social Security, along with $240 a month from two small pensions. Rent and monthly utilities total at least $2,200 a month: More than half of their income.

  7. Roki Sasaki MLB free agency: One remaining decision could ...

    www.aol.com/sports/roki-sasaki-mlb-free-agency...

    Make no mistake, there are likely MLB teams who would be willing to commit their entire international bonus pools to Sasaki, which means he could go from a $2.5 million bonus to a $7 million bonus ...

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