Cubic Root Function Formula
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Cubic Root Function Formula
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Roots Of A Cubic Equation example ExamSolutions YouTube
In mathematics a cube root of a number x is a number y such that y3 x All nonzero real numbers have exactly one real cube root and a pair of complex conjugate cube roots and all nonzero complex numbers have three distinct complex cube roots That function, together with the functions and addition, subtraction, multiplication, and division is enough to give a formula for the solution of the general 5th degree polynomial equation in terms of the coefficients of the polynomial - i.e., the degree 5 analogue of the quadratic formula.
How To Solve Cubic Equations With Complex Roots YouTube
Cubic Root Function FormulaThe cube root function involves the cube root symbol ∛ (which stands for cube root) and hence let us recall a few things about it. The cube root of a number 'a' is a number 'b' such that b 3 = a. i.e., if b 3 = a ⇒ b = ∛a. i.e., if 'b' is the cube of 'a' then 'a' is the cube root of 'b'. Some examples are: 2 3 = 8 ⇒ ∛8 = 2 (-2) 3 = -8 ⇒ ∛ (-8) = -2 The Wolfram Language can solve cubic equations exactly using the built in command Solve a3 x 3 a2 x 2 a1 x a0 0 x The solution can also be expressed in terms of the Wolfram Language algebraic root objects by first issuing SetOptions Roots Cubics False
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