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Quadratic formula. The roots of the quadratic function y = 1 2 x2 − 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.
Algebraically closed group. In group theory, a group is algebraically closed if any finite set of equations and inequations that are applicable to have a solution in without needing a group extension. This notion will be made precise later in the article in § Formal definition .
Fundamental theorem of algebra. The fundamental theorem of algebra, also called d'Alembert's theorem[ 1] or the d'Alembert–Gauss theorem, [ 2] states that every non- constant single-variable polynomial with complex coefficients has at least one complex root. This includes polynomials with real coefficients, since every real number is a ...
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Carlos Alcaraz apologized on X for his actions during a second-round loss to Gaël Monfils at the Cincinnati Open on Friday during which he smashed his racket repeatedly early in the third set.
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