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  2. Clearing denominators - Wikipedia

    en.wikipedia.org/wiki/Clearing_denominators

    The result is an equation with no fractions. The simplified equation is not entirely equivalent to the original. For when we substitute y = 0 and z = 0 in the last equation, both sides simplify to 0, so we get 0 = 0, a mathematical truth. But the same substitution applied to the original equation results in x/6 + 0/0 = 1, which is ...

  3. Solving quadratic equations with continued fractions - Wikipedia

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

    In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is + + =, where a ≠ 0. The quadratic equation on a number can be solved using the well-known quadratic formula, which can be derived by completing the square.

  4. Algebraic fraction - Wikipedia

    en.wikipedia.org/wiki/Algebraic_fraction

    Algebraic fractions are subject to the same laws as arithmetic fractions. A rational fraction is an algebraic fraction whose numerator and denominator are both polynomials . Thus 3 x x 2 + 2 x − 3 {\displaystyle {\frac {3x}{x^{2}+2x-3}}} is a rational fraction, but not x + 2 x 2 − 3 , {\displaystyle {\frac {\sqrt {x+2}}{x^{2}-3}},} because ...

  5. Simplification - Wikipedia

    en.wikipedia.org/wiki/Simplification

    Simplification of algebraic expressions, in computer algebra; Simplification of boolean expressions i.e. logic optimization; Simplification by conjunction elimination in inference in logic yields a simpler, but generally non-equivalent formula; Simplification of fractions

  6. 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 ...

  7. Doctors Say This Nighttime Behavior Can Be A Sign Of Dementia

    www.aol.com/doctors-nighttime-behavior-sign...

    You Might Also Like. Jennifer Garner Swears By This Retinol Eye Cream. These New Kicks Will Help You Smash Your Cross-Training Goals. Show comments. Advertisement. Advertisement.

  8. Trainers Say This Is The Least Amount Of Cardio You ... - AOL

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    If you're starting from ground zero (a.k.a. you don't have an existing, consistent cardio routine), Carnation recommends aiming for 20 minutes of moderate-intensity cardio a day, four days per week.

  9. Quadratic formula - Wikipedia

    en.wikipedia.org/wiki/Quadratic_formula

    A similar but more complicated method works for cubic equations, which have three resolvents and a quadratic equation (the "resolving polynomial") relating ⁠ ⁠ and ⁠ ⁠, which one can solve by the quadratic equation, and similarly for a quartic equation (degree 4), whose resolving polynomial is a cubic, which can in turn be solved. [14]

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