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Completing the square

In elementary algebra, completing the square is a technique for converting a quadratic polynomial of the form ⁠ a x 2 + b x + c {\displaystyle \textstyle ax^{2}+bx+c} ⁠ to the form ⁠ a ( x − h ) 2 + k {\displaystyle \textstyle a(x-h)^{2}+k} ⁠ for some values of ⁠ h {\displaystyle h} ⁠ and ⁠ k {\displaystyle k} ⁠. In terms of a new quantity ⁠ x − h…

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Overview

History

Relation to the graph

Solving quadratic equations

Other applications

A variation on the technique

Completing the cube

Advanced semantic analysis

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Map overview Semantic statistics

Completing the square

Nodes62
Edges61
Triples31
Avg. degree1.97
Density0.032258
Components1

How this topic connects Entity context

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Completing the square

Top relations

related to history · 5
Completing the square → Al-Jabr, Muhammad, Musa Al-Khwarizmi, Old Babylonian Empire, The
related to General description · 4
Completing the square → For, Given, Therefore, This
related to Idempotent matrix · 4
Completing the square → Idempotent, In, M2, The
related to Irrational and complex roots · 4
Completing the square → Completing, For, Then, Unlike
related to Solving quadratic equations · 3
Completing the square → Completing, For, The
is a · 2
Completing the square → oldest method of solving general quadratic equations, technique for converting a quadratic polynomial of the form
related to A variation on the technique · 2
Completing the square → As, There
related to External links · 2
Completing the square → Completing, PlanetMath
related to Geometric perspective · 2
Completing the square → Consider, Since
related to Integration · 2
Completing the square → Completing, For

Important terminology Word statistics

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Important terminology

displaystyle square quadratic completing polynomial term example equation x-h end right bx begin terms 2a left frac ax tfrac text

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Completing the squareis atechnique for converting a quadratic polynomial of the form0.90text
Completing the squareis aoldest method of solving general quadratic equations0.90text
Completing the squarerelated to A variation on the techniqueAs0.60section
Completing the squarerelated to A variation on the techniqueThere0.60section
Completing the squarerelated to Completing the cubeCompleting0.60section
Completing the squarerelated to External linksCompleting0.60section
Completing the squarerelated to External linksPlanetMath0.60section
Completing the squarerelated to General descriptionGiven0.60section
Completing the squarerelated to General descriptionThis0.60section
Completing the squarerelated to General descriptionTherefore0.60section
Completing the squarerelated to General descriptionFor0.60section
Completing the squarerelated to Geometric perspectiveConsider0.60section

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    Min side: 3
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