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  2. Rationalisation (mathematics) - Wikipedia

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

    In elementary algebra, root rationalisation (or rationalization) is a process by which radicals in the denominator of an algebraic fraction are eliminated.. If the denominator is a monomial in some radical, say , with k < n, rationalisation consists of multiplying the numerator and the denominator by , and replacing by x (this is allowed, as, by definition, a n th root of x is a number that ...

  3. Solving quadratic equations with continued fractions - Wikipedia

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

    If the discriminant is zero the fraction converges to the single root of multiplicity two. If the discriminant is positive the equation has two real roots, and the continued fraction converges to the larger (in absolute value) of these. The rate of convergence depends on the absolute value of the ratio between the two roots: the farther that ...

  4. Algebraic fraction - Wikipedia

    en.wikipedia.org/wiki/Algebraic_fraction

    [2] [3] Rational fractions are also known as rational expressions. A rational fraction () is called proper if ⁡ < ⁡ (), and improper otherwise. For example, the rational fraction is proper, and the rational fractions + + + and + + are improper. Any improper rational fraction can be expressed as the sum of a polynomial (possibly constant ...

  5. Rational function - Wikipedia

    en.wikipedia.org/wiki/Rational_function

    In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials. The coefficients of the polynomials need not be rational numbers ; they may be taken in any field K .

  6. President Biden faces backlash from Democrats for breaking ...

    www.aol.com/president-biden-faces-backlash...

    U.S. Sen. Michael Bennet, D-.Colo., said Biden "put personal interest ahead of duty," adding that Biden's decision to pardon his son "further erodes Americans' faith that the justice system is ...

  7. Savings interest rates today: Best accounts still paying out ...

    www.aol.com/finance/savings-interest-rates-today...

    The Federal Reserve announced a cut to its benchmark interest rates yesterday, dropping the Fed rate by 25 basis points to a range of 4.50% to 4.75% — the second time its lowered rates since ...

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