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Chapter 4: Quadratic Equations (105 videos)
4.1: Introduction
  1. Quadratic Equations in One Variable DEMO
  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 DEMO
  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. Problem 1: Solving Radical Equations in One Variable
  24. Solving Equations with Quadratic Radicand at one Side
  25. Problem-Solving Equations with Quadratic Radicand at one Side
  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 DEMO
  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 DEMO
  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 DEMO
  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 DEMO
  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 DEMO
  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 DEMO
  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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