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Chapter 3: Equations (92 videos)

3.1: Quadratic Equations
1. Introduction to Polynomials
2. Problem 1: Introduction to Polynomials
3. Linear Equations in one, two and three variables
4. Problem 1: Linear Equations in one, two and three variables
5. Quadratic Equations in One Variable
6. Problem 1: Quadratic Equations in One Variable
 
3.2: Factor Theorem of Polynomials
1. Remainder Theorem
2. Problem 1: Remainder Theorem
3. Factor Theorem
4. Problem 2: Factor Theorem
5. Problem 1: Factor Theorem
 
3.3: Synthetic Division
1. Synthetic Division Method
 
3.4: Solution of Quadratic Equations
1. Solving Quadratic Equations by Factorization
2. Problem 1: Solving Quadratic Equations by Factorization
3. Solving Quadratic Equations by Completing the Squares
4. Problem 1: Solving Quadratic Equations by Completing the Squares
5. Problem 2: Solving Quadratic Equations by Completing the Squares
6. Derivation of Quadratic formula
7. Problem 1: Derivation of Quadratic formula
8. Solving Quadratic Equation by Quadratic formula
9. Problem1-Solving Quadratic Equation-Quadratic Formula
10. Problem 2: Solving Quadratic Equation by Quadratic formula
11. Problem-Solving Involving Quadratic Equations
 
3.5: The Cube Roots of Unity
1. The Cube Roots of Unity
2. Problem 1: The Cube Roots of Unity
 
3.6: Properties of the Cube Roots of Unity
1. Recognise Complex Cube Roots of Unity
2. Properties of Cube Roots of Unity
3. Problem 1: Properties of Cube Roots of Unity
 
3.7: Equations Reducible to the Quadratic Form
1. Solving Equation Having Degree 2n
2. Problem-Solving Equation Having Degree 2n
3. Problem2-Solving Equation Having Degree 2n
4. Solving Equation Having Degree Four
5. Solving Rational Equations
6. Solving Reciprocal Algebraic Equation
7. Problem 1: Solving Reciprocal Algebraic Equation
8. Solving Exponential Equations
9. Solving Algebraic Equations in Products Factors
10. Equations with Different Exponential Functions
11. More on Equations with Different Exponential Functions
12. Problem-Equations with Different Exponential Functions
13. Equations with Special Base e
14. Problem-Equations with Special Base e
15. Exponential Modelling
16. Problem1-Exponential Modelling
17. Problem2-Exponential Modelling
18. Equations Containing Logarithms
19. Problem-Equations Containing Logarithms
20. Disguised Quadratic Equations
21. Problem-Disguised Quadratic Equations
 
3.8: The Theory of Quadratic Equations
1. The Theory of Quadratic Equations
2. More on the Theory of Quadratic Equations
3. Problem-The Theory of Quadratic Equations
 
3.9: Nature of the Roots of a Quadratic Equation
1. Discriminant of Quadratic Expression
2. Problem 1: Discriminant of Quadratic Expression
3. Finding Discriminant of Quadratic Equation
4. Problem 1: Finding Discriminant of Quadratic Equation
5. Nature of the Roots of a Quadratic Equation
6. Problem 1: Nature of the Roots of a Quadratic Equation
7. Quadratic Function
8. Geometrical Interpretation and the Discriminant
9. Problem1-Geometrical Interpretation and the Discriminant-1
10. Problem1-Geometrical Interpretation and the Discriminant-2
11. Problem2-Geometrical Interpretation and the Discriminant-1
12. Verification of Nature of Roots of Equation
13. Finding s when Nature of Roots is given
14. Finding s when Nature of Roots is given
15. Problem 1: Finding s when Nature of Roots is given
 
3.10: Relaltions Between the Roots and the Coefficient of a Quadratic Equation
1. Roots & Coefficients of Quadratic Equation
2. Problem 1: Roots & Coefficients of Quadratic Equation
 
3.11: To Form a Quadratic Equation When its Roots are Given
1. Finding Sum of Roots from Their Product
2. Problem 1: Finding Sum of Roots from Their Product
3. Roots Satisfy a Given Relation
4. Sum & Product of Roots Equal to a Number.
5. Find a Quadratic Equation from Given Roots
6. Form Quadratic Equations Whose Roots are Given
7. Problem 1: Form Quadratic Equations Whose Roots are Given
 
3.12: Problems Involving Quadratic Equations
1. Problem Leading to Quadratic Equations.
2. Problem 1: Problem Leading to Quadratic Equations.
 
3.13: System of Two Equations Involving Two Variables
1. Solving Simultaneaous Quadratic Equations
2. Solving Linear and Quadratic Equations
3. Problem-Solving Linear and Quadratic Equations
4. System of Two Equations Involving Two Variables
5. Problem-System of Two Equations Involving Two Variables
 
3.14: Solution of Different Types of Systems of Equations
1. Solving Linear and Quadratic Equations
2. Problem-Solving Linear and Quadratic Equations
3. Solving 2nd Degree Equations in General Form Type 1
4. Problem-Solving 2nd Degree Equations in General Form Type 1
5. Solving 2nd Degree Equations in General Form Type 2
6. Case2-Solving 2nd Degree Equations in General Form Type 2
7. Case3-Solving 2nd Degree Equations in General Form Type 2
8. Case4-Solving 2nd Degree Equations in General Form Type 2
9. Case5-Solving 2nd Degree Equations in General Form Type 2
 

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