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  2. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    A formula for computing the trigonometric identities for the one-third angle exists, but it requires finding the zeroes of the cubic equation 4x 3 − 3x + d = 0, where is the value of the cosine function at the one-third angle and d is the known value of the cosine function at the full angle.

  3. 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 ...

  4. Quadratic formula - Wikipedia

    en.wikipedia.org/wiki/Quadratic_formula

    The roots of the quadratic function y = ⁠ 1 / 2x 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. Elementary algebra - Wikipedia

    en.wikipedia.org/wiki/Elementary_algebra

    For example, taking the statement x + 1 = 0, if x is substituted with 1, this implies 1 + 1 = 2 = 0, which is false, which implies that if x + 1 = 0 then x cannot be 1. If x and y are integers, rationals, or real numbers, then xy = 0 implies x = 0 or y = 0. Consider abc = 0. Then, substituting a for x and bc for y, we learn a = 0 or bc = 0.

  6. Erdogan says Turkey expects allies to pull support from Kurds ...

    www.aol.com/news/erdogan-says-turkey-expects...

    Turkey expects foreign countries will withdraw support for Kurdish fighters in Syria following the toppling of Bashar al-Assad, President Tayyip Erdogan said, as Ankara seeks to isolate Kurds who ...

  7. Really This Is The Only Dish You Should Make With ... - AOL

    www.aol.com/really-only-dish-leftover-turkey...

    No, it's not a sandwich.

  8. Judge rules US must return ‘cursed’ $1B emerald to Brazil ...

    www.aol.com/judge-rules-us-must-return-205130212...

    An 836-pound “cursed” emerald worth nearly $1 billion will be returned to Brazil after 15 years under lock and key in Los Angeles. The 180,000-carat Bahia Emerald was smuggled out of the South ...

  9. Quadratic function - Wikipedia

    en.wikipedia.org/wiki/Quadratic_function

    Roots and y-intercept in red; Vertex and axis of symmetry in blue; Focus and directrix in pink; Visualisation of the complex roots of y = ax 2 + bx + c: the parabola is rotated 180° about its vertex (orange). Its x-intercepts are rotated 90° around their mid-point, and the Cartesian plane is interpreted as the complex plane (green). [3