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  2. Solution in radicals - Wikipedia

    en.wikipedia.org/wiki/Solution_in_radicals

    A solution in radicals or algebraic solution is an expression of a solution of a polynomial equation that is algebraic, that is, relies only on addition, subtraction, multiplication, division, raising to integer powers, and extraction of n th roots (square roots, cube roots, etc.). A well-known example is the quadratic formula

  3. 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 ...

  4. Equation solving - Wikipedia

    en.wikipedia.org/wiki/Equation_solving

    An example of using Newton–Raphson method to solve numerically the equation f(x) = 0. In mathematics, to solve an equation is to find its solutions, which are the values (numbers, functions, sets, etc.) that fulfill the condition stated by the equation, consisting generally of two expressions related by an equals sign.

  5. Nested radical - Wikipedia

    en.wikipedia.org/wiki/Nested_radical

    In the case of two nested square roots, the following theorem completely solves the problem of denesting. [2]If a and c are rational numbers and c is not the square of a rational number, there are two rational numbers x and y such that + = if and only if is the square of a rational number d.

  6. 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.

  7. Even before US alcohol warning, younger Americans were ...

    www.aol.com/news/even-us-alcohol-warning-younger...

    The U.S. Surgeon General's warning of an increased risk of cancer from drinking alcohol may end up resonating most with younger Americans - who in recent years were already turning to mocktails ...

  8. Tesla sales dropped 1.1% in 2024, its first annual decline in ...

    www.aol.com/tesla-reports-1-1-sales-142358684.html

    Tesla posted its first annual sales drop in more than a dozen years Thursday, undercutting a stock that has soared since Donald Trump’s victory on optimism Elon Musk’s close relationship to ...

  9. Vet-Approved Home Treatment for Senior Dogs with Arthritis - AOL

    www.aol.com/vet-approved-home-treatment-senior...

    There are several things you can do at home to help an older dog with arthritis, including changing her diet. Photo by manfredxy&comma; Canva

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