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- Algebraic_solution abstract "An algebraic solution or solution in radicals is a closed form expression, and more specifically a closed-form algebraic expression, that is the solution of an algebraic equation in terms of the coefficients, relying only on addition, subtraction, multiplication, division, raising to integer powers, and the extraction of roots (square roots, cube roots, etc.). The most well-known example is the solutionintroduced in secondary school, of the quadratic equation(where a ≠ 0).There exist more complicated algebraic solutions for the general cubic equation and quartic equation. The Abel-Ruffini theorem states that the general quintic equation lacks an algebraic solution, and this directly implies that the general polynomial equation of degree n, for n ≥ 5, cannot be solved algebraically. However, under certain conditions algebraic solutions can be obtained; for example, the equation can be solved as Algebraic solutions form a subset of closed-form expressions, because the latter permit transcendental functions (non-algebraic functions) such as the exponential function, the logarithmic function, and the trigonometric functions and their inverses.".
- Algebraic_solution wikiPageID "1601833".
- Algebraic_solution wikiPageRevisionID "567997596".
- Algebraic_solution hasPhotoCollection Algebraic_solution.
- Algebraic_solution subject Category:Algebra.
- Algebraic_solution comment "An algebraic solution or solution in radicals is a closed form expression, and more specifically a closed-form algebraic expression, that is the solution of an algebraic equation in terms of the coefficients, relying only on addition, subtraction, multiplication, division, raising to integer powers, and the extraction of roots (square roots, cube roots, etc.).".
- Algebraic_solution label "Algebraic solution".
- Algebraic_solution sameAs m.05fsn7.
- Algebraic_solution sameAs Q2900186.
- Algebraic_solution sameAs Q2900186.
- Algebraic_solution wasDerivedFrom Algebraic_solution?oldid=567997596.
- Algebraic_solution isPrimaryTopicOf Algebraic_solution.