4.1: Introduction
- Quadratic Equations in One Variable
- Problem 1: Quadratic Equations in One Variable
- Solving Quadratic Equations by Factorization
- Problem 1: Solving Quadratic Equations by Factorization
- The Theory of Quadratic Equations
- More on the Theory of Quadratic Equations
- Problem-The Theory of Quadratic Equations
- Solving Quadratic Equations by Completing the Squares
- Problem 1: Solving Quadratic Equations by Completing the Squares
- Problem 2: Solving Quadratic Equations by Completing the Squares
- Derivation of Quadratic formula
- Problem 1: Derivation of Quadratic formula
- Solving Quadratic Equation by Quadratic formula
- Problem1-Solving Quadratic Equation-Quadratic Formula
- Problem 2: Solving Quadratic Equation by Quadratic formula
4.2: Solutions of Equations Reduceible to the Quadratic Equation
- Solving Equation Having Degree 2n
- Problem-Solving Equation Having Degree 2n
- Problem2-Solving Equation Having Degree 2n
- Solving Equation Having Degree Four
- Solving Rational Equations
- Solving Reciprocal Algebraic Equation
- Solving Exponential Equations
- Equations with Different Exponential Functions
- More on Equations with Different Exponential Functions
- Problem-Equations with Different Exponential Functions
- Equations with Special Base e
- Problem-Equations with Special Base e
- Exponential Modelling
- Problem1-Exponential Modelling
- Problem2-Exponential Modelling
- Equations Containing Logarithms
- Problem-Equations Containing Logarithms
- Disguised Quadratic Equations
- Problem-Disguised Quadratic Equations
- Solving Algebraic Equations in Products Factors
- Solving Radical Equations in One Variable
- Problem 1: Solving Radical Equations in One Variable
- Problem 1: Solving Radical Equations in One Variable
- Solving Equations with Quadratic Radicand at one Side
- Problem-Solving Equations with Quadratic Radicand at one Side
- Solving Equations with Quadratic Radicands at Both Sides
- Problem-Solving Equations with Quadratic Radicands at Both Sides
- Problem- More on Solving Equations with Quadratic Radicands at Both S
- Solving Sum of Radicals Equal to Constant
- Solving Sum of Radicals Equal to Linear Expression
- Problem-Solving Sum of Radicals Equal to Linear Expression
4.3: Three Cube Roots of Unity
- The Cube Roots of Unity
- Problem 1: The Cube Roots of Unity
- Recognise Complex Cube Roots of Unity
- Properties of Cube Roots of Unity
- Problem 1: Properties of Cube Roots of Unity
- Problems on Cube Roots of Unity
- Problem 1: Problems on Cube Roots of Unity
4.4: Four Fourth Roots of Unity
- Four Fourth Roots of Unity
- Problem-Four Fourth Roots of Unity
- Properties of Four Fourth Roots of Unity
- Problem-Properties of Four Fourth Roots of Unity
4.5: Polynomial Functions
- Introducing Variable & Constant
- Problem 1: Introducing Variable & Constant
- Introducing Coefficient & Exponent
- Problem 1: Introducing Coefficient & Exponent
- Introduction to Polynomials
- Problem 1: Introduction to Polynomials
4.6: Theorems
- Remainder Theorem
- Problem 1: Remainder Theorem
- Factor Theorem
- Problem 2: Factor Theorem
- Problem 1: Factor Theorem
4.7: Synthetic Division
4.8: Relations Between the Roots and the Coefficients of a Quadratic Equation
4.9: Formation of an Equation Whose Roots are Given
- Find a Quadratic Equation from Given Roots
- Form Quadratic Equations Whose Roots are Given
- Problem 1: Form Quadratic Equations Whose Roots are Given
4.10: Nature of the Roots of a Quadratic Equation
- Discriminant of Quadratic Expression
- Problem 1: Discriminant of Quadratic Expression
- Finding Discriminant of Quadratic Equation
- Problem 1: Finding Discriminant of Quadratic Equation
- Nature of the Roots of a Quadratic Equation
- Problem 1: Nature of the Roots of a Quadratic Equation
- Quadratic Function
- Geometrical Interpretation and the Discriminant
- Problem1-Geometrical Interpretation and the Discriminant-1
- Problem1-Geometrical Interpretation and the Discriminant-2
- Problem2-Geometrical Interpretation and the Discriminant-1
- Verification of Nature of Roots of Equation
- Finding s when Nature of Roots is given
- Finding s when Nature of Roots is given
- Problem 1: Finding s when Nature of Roots is given
4.11: Systems of Two Equations Involving Two Variables
- System of Two Equations Involving Two Variables
- Problem-System of Two Equations Involving Two Variables
- Solving Linear and Quadratic Equations
- Problem-Solving Linear and Quadratic Equations
- Solving Simultaneaous Quadratic Equations
- Solving 2nd Degree Equations in General Form Type 1
- Problem-Solving 2nd Degree Equations in General Form Type 1
- Solving 2nd Degree Equations in General Form Type 2
- Case2-Solving 2nd Degree Equations in General Form Type 2
- Case3-Solving 2nd Degree Equations in General Form Type 2
- Case4-Solving 2nd Degree Equations in General Form Type 2
- Case5-Solving 2nd Degree Equations in General Form Type 2
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