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  2. 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 ...

  3. 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

  4. Square (algebra) - Wikipedia

    en.wikipedia.org/wiki/Square_(algebra)

    The graph of the square function y = x 2 is a parabola. The squaring operation defines a real function called the square function or the squaring function. Its domain is the whole real line, and its image is the set of nonnegative real numbers. The square function preserves the order of positive numbers: larger numbers have larger squares.

  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. California's Raw Farm issues voluntary recall of some raw ...

    www.aol.com/californias-raw-farm-issues...

    Health officials in California are alerting consumers of a voluntary recall of a batch of cream top, whole milk that was produced by Raw Farms, LLC, in Fresno County after bird flu was detected in ...

  7. Donald Trump vows to fire federal employees who won't return ...

    www.aol.com/donald-trump-vows-fire-federal...

    President-elect Donald Trump said he'd fire federal workers who won't return to the office and also challenge in court a Biden-era deal on the issue.

  8. Most say they probably won’t get updated COVID vaccine: Survey

    www.aol.com/most-probably-won-t-updated...

    Most Americans in a new poll said they probably won’t get an updated COVID-19 vaccine. The Pew Research Center survey found 60 percent said they are “probably not” going to “get an updated ...

  9. 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.