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الحلحلة الجبرية (Info)


تعطى الصيغة العامة لجذور معادلة الدرجة الثالثة بدلالة معاملاتها كما يلي:

المميز

عدد جذور دالة تكعيبية الحقيقية والمركبة يحدد بحساب مميز المعادلة التكعيبية كما يلي:

  • إذا كان Δ > 0، فإن للمعادلة ثلاثة جذور مختلفة الواحدة منها عن الأخريين.
  • إذا كان Δ = 0، فإن للمعادلة جذرا متكررا وأن جميع حلول المعادلة حقيقية.
  • إذا كان Δ < 0، فإن للمعادلة جذرا حقيقيا وجذرين أخريين مركبين الواحد منهما مرافق للآخر.

تعطى الصيغة العامة لجذور معادلة الدرجة الثالثة، بدلالة معاملاتها كما يلي:

Source: wikipedia.org
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Algebraic Structures 1

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Algebraic Equations

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The publisher is the author
Basic Information In Algebraic Mathematics

Basic Information In Algebraic Mathematics
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Algebraic Structures - Groups

Algebraic Structures - Groups
Public Domain
The Elements Of The Theory Of Algebraic Numbers

The Elements Of The Theory Of Algebraic Numbers
Public Domain
The Elements Of The Theory Of Algebraic Numbers

The Elements Of The Theory Of Algebraic Numbers
Public Domain
The Elements Of The Theory Of Algebraic Numbers

The Elements Of The Theory Of Algebraic Numbers
  (3)
The publisher is the author
Linear And Nonlinear Algebraic Systems

Linear And Nonlinear Algebraic Systems
Unavailable
Copyright reserved
Khayyam's Algebraic Letters

Khayyam's Algebraic Letters
Public Domain
Plane Algebraic Curves

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An Essay On The Resolution Of Algebraic Equations

An Essay On The Resolution Of Algebraic Equations
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Introduction To Algebraic Structures

Introduction To Algebraic Structures
  (1)
Public Domain
The Elements Of The Theory Of Algebraic Numbers

The Elements Of The Theory Of Algebraic Numbers
Public Domain
An Essay On The Resolution Of Algebraic Equations

An Essay On The Resolution Of Algebraic Equations
Public Domain
Key To Davies' Bourdon : With Many Additional Examples, Illustrating The Algebraic Analysis : Also, A Solution Of All The Difficult Examples In Davies' Legendre

Key To Davies' Bourdon : With Many Additional Examples, Illustrating The Algebraic Analysis : Also, A Solution Of All The Difficult Examples In Davies' Legendre
Unavailable
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Introduction To Algebraic Structures

Introduction To Algebraic Structures
Public Domain
Ueber Riemann's Theorie Der Algebraischen Functionen

Ueber Riemann's Theorie Der Algebraischen Functionen
  (1)
Public Domain
Geometric Exercises For Algebraic Solution; Second Year Mathematics For Secondary Schools

Geometric Exercises For Algebraic Solution; Second Year Mathematics For Secondary Schools
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Practical Applications In Algebraic Execution

Practical Applications In Algebraic Execution
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Contemporary Mathematics Algebraic Structures

Contemporary Mathematics Algebraic Structures

 
Orientalists And Islamic Civilization - Irving And Islamic Algebra

Orientalists And Islamic Civilization - Irving And Islamic Algebra
The publisher is the author
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Chapter Two: Algebraic Expressions
The publisher is the author
Arithmetic In Z - Algebraic Structures

Arithmetic In Z - Algebraic Structures
Public Domain
Kindergarten Floral In Algebraic Assets.

Kindergarten Floral In Algebraic Assets.

 
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Algebraic Structures - Groups

Algebraic Structures - Groups
  (1)
Public Domain
Algebraic Analysis : Solutions And Exercises, Illustrating The Fundamental Theorems And The Most Important Processes Of Pure Algebra

Algebraic Analysis : Solutions And Exercises, Illustrating The Fundamental Theorems And The Most Important Processes Of Pure Algebra
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Algebraic Geometry And Topology A Symposium In Honor Of S.lefschetz.

Algebraic Geometry And Topology A Symposium In Honor Of S.lefschetz.
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"""fighting Killer"""
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مناقشة ابن تيمية في حقيقة الجبرية
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الواضح في حكم الدولة الجبرية

الواضح في حكم الدولة الجبرية
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Elliptische Functionen Und Algebraische Zahlen

Elliptische Functionen Und Algebraische Zahlen
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The Algebraic Theory Of Modular Systems

The Algebraic Theory Of Modular Systems
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Differential Equations From The Algebraic Standpoint

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Women In Algebraic Literature

Women In Algebraic Literature

 
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The Obvious Rules Of Algebra

The Obvious Rules Of Algebra
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A Modern Introduction To Algebraic Structures

A Modern Introduction To Algebraic Structures

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Mustafa Mahmoud The Words Of God Almighty Ibrahim AlFiqi Muhammad Bin Saleh AlUthaymeen Ibn Qayyim Al-Jawziyya Ahmed Khaled Tawfiq Fahad Amer AlAhmadi Muhammad Metwally AlShaarawi Ali Bin Jaber AlFifi Dale Carnegie Islam Gamal Sayed Qutb Muhammad AlGhazali Omar AlHourani Agatha Christie Muhammad Bin Ismail AlBukhari Abbas AlAkkad Abu Hamid AlGhazali Najib Mahfouz Fyodor Dostoevsky Jalal AlDin AlSuyuti Bin Taymiyyah Ismail Bin Omar Bin Katheer AlQurashi Aldamashqiu Ibrahim Al-Sukran Mustafa AlAdawi More of Authors of books