Fundamental theorem of algebra - Revision history

Rational Point: Gauß

2024-12-27T05:07:44Z

Gauß

← Older revision		Revision as of 05:07, 27 December 2024
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	[[Category:Fundamental theorems]]		[[Category:Fundamental theorems]]
			[[Image:Carl-friedrich-gauss-962c0e.jpg\|frame\|left\|Johann Carl Friedrich Gauß (Apr 30, 1777 – Feb 23, 1855)]]
	The [[fundamental theorem of algebra]] holds that every algebraic equation with coefficients in the complex numbers is solvable in the complex numbers, and has as many roots as its degree, or highest power of the unknown in any term, when the roots are counted with their multiplicity.		The [[fundamental theorem of algebra]] holds that every algebraic equation with coefficients in the complex numbers is solvable in the complex numbers, and has as many roots as its degree, or highest power of the unknown in any term, when the roots are counted with their multiplicity.

	The field <math>\mathbb C</math> of complex numbers is said to be '''algebraically closed''' because it contains the roots of all its algebraic equations.		The field <math>\mathbb C</math> of complex numbers is said to be '''algebraically closed''' because it contains the roots of all its algebraic equations.

Rational Point: field

2024-12-27T04:51:58Z

field

← Older revision		Revision as of 04:51, 27 December 2024
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	The [[fundamental theorem of algebra]] holds that every algebraic equation with coefficients in the complex numbers is solvable in the complex numbers, and has as many roots as its degree, or highest power of the unknown in any term, when the roots are counted with their multiplicity.		The [[fundamental theorem of algebra]] holds that every algebraic equation with coefficients in the complex numbers is solvable in the complex numbers, and has as many roots as its degree, or highest power of the unknown in any term, when the roots are counted with their multiplicity.

	The ~~set~~ <math>\mathbb C</math> of complex numbers is said to be '''algebraically closed''' because it contains the roots of all its algebraic equations.		The field <math>\mathbb C</math> of complex numbers is said to be '''algebraically closed''' because it contains the roots of all its algebraic equations.

Rational Point: Fundamental theorems

2024-12-27T04:46:41Z

Fundamental theorems

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[[Category:Fundamental theorems]]
The [[fundamental theorem of algebra]] holds that every algebraic equation with coefficients in the complex numbers is solvable in the complex numbers, and has as many roots as its degree, or highest power of the unknown in any term, when the roots are counted with their multiplicity.

The set <math>\mathbb C</math> of complex numbers is said to be '''algebraically closed''' because it contains the roots of all its algebraic equations.