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  2. Completing the square - Wikipedia

    en.wikipedia.org/wiki/Completing_the_square

    As conventionally taught, completing the square consists of adding the third term, v 2 to + to get a square. There are also cases in which one can add the middle term, either 2 uv or −2 uv , to u 2 + v 2 {\displaystyle u^{2}+v^{2}} to get a square.

  3. Equating coefficients - Wikipedia

    en.wikipedia.org/wiki/Equating_coefficients

    A similar problem, involving equating like terms rather than coefficients of like terms, arises if we wish to de-nest the nested radicals + to obtain an equivalent expression not involving a square root of an expression itself involving a square root, we can postulate the existence of rational parameters d, e such that

  4. 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.

  5. Equation solving - Wikipedia

    en.wikipedia.org/wiki/Equation_solving

    For example, the equation x + y = 2x – 1 is solved for the unknown x by the expression x = y + 1, because substituting y + 1 for x in the equation results in (y + 1) + y = 2(y + 1) – 1, a true statement. It is also possible to take the variable y to be the unknown, and then the equation is solved by y = x – 1.

  6. Fermat's theorem on sums of two squares - Wikipedia

    en.wikipedia.org/wiki/Fermat's_theorem_on_sums_of...

    If two primes which end in 3 or 7 and surpass by 3 a multiple of 4 are multiplied, then their product will be composed of a square and the quintuple of another square. In other words, if p, q are of the form 20k + 3 or 20k + 7, then pq = x 2 + 5y 2. Euler later extended this to the conjecture that

  7. Pamela Anderson Clarifies She 'Never Was Married' to Jon ...

    www.aol.com/pamela-anderson-clarifies-she-never...

    Pamela Anderson and movie producer Jon Peters were widely reported to be married briefly in January 2020, though Anderson has since said they never legally wed

  8. Paul-Tyson fetches non-Vegas record $18.1M revenue; sets ...

    www.aol.com/news/paul-tyson-gate-fetches-non...

    Jake Paul and Mike Tyson punched up a record-breaking gate at AT&T Stadium on Saturday with 72,300 fans in attendance leading to $18,117,072 in total revenue, a record for boxing and mixed martial ...

  9. Five tips for an easy Christmas dinner, from Temp-tations ...

    www.aol.com/lifestyle/five-tips-for-an-easy...

    Tip 2: Lean into one-dish meals. Not excited about making 10 different sides? Embrace the one-dish life — it’ll make cooking, cleaning, and serving much easier.