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Chapter 4: Quadratic Equations (105 videos)

4.1: Introduction
1. Quadratic Equations in One Variable
2. Problem 1: Quadratic Equations in One Variable
3. Solving Quadratic Equations by Factorization
4. Problem 1: Solving Quadratic Equations by Factorization
5. The Theory of Quadratic Equations
6. More on the Theory of Quadratic Equations
7. Problem-The Theory of Quadratic Equations
8. Solving Quadratic Equations by Completing the Squares
9. Problem 1: Solving Quadratic Equations by Completing the Squares
10. Problem 2: Solving Quadratic Equations by Completing the Squares
11. Derivation of Quadratic formula
12. Problem 1: Derivation of Quadratic formula
13. Solving Quadratic Equation by Quadratic formula
14. Problem1-Solving Quadratic Equation-Quadratic Formula
15. Problem 2: Solving Quadratic Equation by Quadratic formula
 
4.2: Solutions of Equations Reduceible to the Quadratic Equation
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. Solving Exponential Equations
8. Equations with Different Exponential Functions
9. More on Equations with Different Exponential Functions
10. Problem-Equations with Different Exponential Functions
11. Equations with Special Base e
12. Problem-Equations with Special Base e
13. Exponential Modelling
14. Problem1-Exponential Modelling
15. Problem2-Exponential Modelling
16. Equations Containing Logarithms
17. Problem-Equations Containing Logarithms
18. Disguised Quadratic Equations
19. Problem-Disguised Quadratic Equations
20. Solving Algebraic Equations in Products Factors
21. Solving Radical Equations in One Variable
22. Problem 1: Solving Radical Equations in One Variable
23. Solving Equations with Quadratic Radicand at one Side
24. Problem-Solving Equations with Quadratic Radicand at one Side
25. Problem 1: Solving Radical Equations in One Variable
26. Solving Equations with Quadratic Radicands at Both Sides
27. Problem-Solving Equations with Quadratic Radicands at Both Sides
28. Problem- More on Solving Equations with Quadratic Radicands at Both S
29. Solving Sum of Radicals Equal to Constant
30. Solving Sum of Radicals Equal to Linear Expression
31. Problem-Solving Sum of Radicals Equal to Linear Expression
 
4.3: Three Cube Roots of Unity
1. The Cube Roots of Unity
2. Problem 1: The Cube Roots of Unity
3. Recognise Complex Cube Roots of Unity
4. Properties of Cube Roots of Unity
5. Problem 1: Properties of Cube Roots of Unity
6. Problems on Cube Roots of Unity
7. Problem 1: Problems on Cube Roots of Unity
 
4.4: Four Fourth Roots of Unity
1. Four Fourth Roots of Unity
2. Problem-Four Fourth Roots of Unity
3. Properties of Four Fourth Roots of Unity
4. Problem-Properties of Four Fourth Roots of Unity
 
4.5: Polynomial Functions
1. Introducing Variable & Constant
2. Problem 1: Introducing Variable & Constant
3. Introducing Coefficient & Exponent
4. Problem 1: Introducing Coefficient & Exponent
5. Introduction to Polynomials
6. Problem 1: Introduction to Polynomials
 
4.6: Theorems
1. Remainder Theorem
2. Problem 1: Remainder Theorem
3. Factor Theorem
4. Problem 2: Factor Theorem
5. Problem 1: Factor Theorem
 
4.7: Synthetic Division
1. Synthetic Division Method
2. Finding Quotient & Remainder
3. Problem 1: Finding Quotient & Remainder
 
4.8: Relations Between the Roots and the Coefficients of a Quadratic Equation
1. Roots & Coefficients of Quadratic Equation
2. Problem 1: Roots & Coefficients of Quadratic Equation
 
4.9: Formation of an Equation Whose Roots are Given
1. Find a Quadratic Equation from Given Roots
2. Form Quadratic Equations Whose Roots are Given
3. Problem 1: Form Quadratic Equations Whose Roots are Given
 
4.10: 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
 
4.11: Systems of Two Equations Involving Two Variables
1. System of Two Equations Involving Two Variables
2. Problem-System of Two Equations Involving Two Variables
3. Solving Linear and Quadratic Equations
4. Problem-Solving Linear and Quadratic Equations
5. Solving Simultaneaous Quadratic Equations
6. Solving 2nd Degree Equations in General Form Type 1
7. Problem-Solving 2nd Degree Equations in General Form Type 1
8. Solving 2nd Degree Equations in General Form Type 2
9. Case2-Solving 2nd Degree Equations in General Form Type 2
10. Case3-Solving 2nd Degree Equations in General Form Type 2
11. Case4-Solving 2nd Degree Equations in General Form Type 2
12. Case5-Solving 2nd Degree Equations in General Form Type 2
 
4.12: Problems on Quadratic Equations
1. Problem Leading to Quadratic Equations.
2. Problem 1: Problem Leading to Quadratic Equations.
 

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