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MathsQuadratic Equations
Maths
Maths
  • Numbers
  • 1. Number Systems
  • Algebra
  • 2. Algebraic Expressions
  • 3. Linear Equations
  • 4. Polynomials
  • 5. Quadratic Equations
    • 5.1. Standard Form of Quadratic Equation
    • 5.2. Solving by Factorisation
    • 5.3. Solving by Completing the Square
    • 5.4. Quadratic Formula
    • 5.5. Nature of Roots
    • 5.6. Applications of Quadratic Equations
  • 6. Arithmetic Progressions
  • 7. Inequalities
  • 8. Logarithms
  • 9. Factorisation
  • Geometry
  • 10. Lines and Angles
  • 11. Triangles
  • 12. Quadrilaterals
  • 13. Polygons
  • 14. Circles
  • 15. Coordinate Geometry
  • Mensuration
  • 16. 2D Mensuration
  • 17. 3D Mensuration
  • Trigonometry
  • 18. Introduction to Trigonometry
  • 19. Trigonometric Identities
  • 20. Heights and Distances
  • 21. Trigonometric Functions
  • 22. Inverse Trigonometric Functions
  • Advanced Algebra
  • 23. Sequences and Series
  • 24. Matrices
  • 25. Determinants
  • 26. Complex Numbers
  • 27. Permutations and Combinations
  • 28. Binomial Theorem
  • 29. Sets
  • 30. Relations
  • 31. Functions
  • Calculus
  • 32. Limits
  • 33. Continuity
  • 34. Differentiation
  • 35. Applications of Derivatives
  • 36. Integration
  • 37. Applications of Integrals
  • 38. Differential Equations
  • Vectors and 3D Geometry
  • 39. Vectors
  • Statistics and Probability
  • 40. Data Handling
  • 41. Measures of Central Tendency
  • 42. Measures of Dispersion
  • 43. Correlation
  • 44. Probability
  • 45. Random Variables
  • 46. Probability Distributions
  • Linear Programming
  • 47. Formulation of Linear Programming Problems
  • 48. Graphical Method
  • 49. Linear Programming - Constraints and Feasible Region
  • 50. Optimization Problems
  • Mathematical Reasoning
  • 51. Statements
  • 52. Logical Connectives
  • 53. Implications
  • 54. Validity of Statements and Arguments
  • Numbers
  • 1. Number Systems
  • Algebra
  • 2. Algebraic Expressions
  • 3. Linear Equations
  • 4. Polynomials
  • 5. Quadratic Equations
    • 5.1. Standard Form of Quadratic Equation
    • 5.2. Solving by Factorisation
    • 5.3. Solving by Completing the Square
    • 5.4. Quadratic Formula
    • 5.5. Nature of Roots
    • 5.6. Applications of Quadratic Equations
  • 6. Arithmetic Progressions
  • 7. Inequalities
  • 8. Logarithms
  • 9. Factorisation
  • Geometry
  • 10. Lines and Angles
  • 11. Triangles
  • 12. Quadrilaterals
  • 13. Polygons
  • 14. Circles
  • 15. Coordinate Geometry
  • Mensuration
  • 16. 2D Mensuration
  • 17. 3D Mensuration
  • Trigonometry
  • 18. Introduction to Trigonometry
  • 19. Trigonometric Identities
  • 20. Heights and Distances
  • 21. Trigonometric Functions
  • 22. Inverse Trigonometric Functions
  • Advanced Algebra
  • 23. Sequences and Series
  • 24. Matrices
  • 25. Determinants
  • 26. Complex Numbers
  • 27. Permutations and Combinations
  • 28. Binomial Theorem
  • 29. Sets
  • 30. Relations
  • 31. Functions
  • Calculus
  • 32. Limits
  • 33. Continuity
  • 34. Differentiation
  • 35. Applications of Derivatives
  • 36. Integration
  • 37. Applications of Integrals
  • 38. Differential Equations
  • Vectors and 3D Geometry
  • 39. Vectors
  • Statistics and Probability
  • 40. Data Handling
  • 41. Measures of Central Tendency
  • 42. Measures of Dispersion
  • 43. Correlation
  • 44. Probability
  • 45. Random Variables
  • 46. Probability Distributions
  • Linear Programming
  • 47. Formulation of Linear Programming Problems
  • 48. Graphical Method
  • 49. Linear Programming - Constraints and Feasible Region
  • 50. Optimization Problems
  • Mathematical Reasoning
  • 51. Statements
  • 52. Logical Connectives
  • 53. Implications
  • 54. Validity of Statements and Arguments
Division of PolynomialsStandard Form of Quadratic Equation

Quadratic Equations

Quadratic equations covered with key concepts, standard forms, solution methods, and step-by-step examples for strong algebra foundations.

1.Standard Form of Quadratic Equation
Learn the standard form of quadratic equations, how to identify, convert, and simplify equations into the form ax^2 + bx + c = 0 with clear examples.
2.Solving by Factorisation
Learn how to solve quadratic equations using the factorisation method through step-by-step explanation, examples, and student-friendly notes.
3.Solving by Completing the Square
Understand how to solve quadratic equations by completing the square using clear, step-by-step explanations, worked examples, and student-friendly notes.
4.Quadratic Formula
Learn how to solve any quadratic equation using the quadratic formula, with clear steps, examples, discriminant use, and common mistakes students should avoid.
5.Nature of Roots
Understand the nature of roots of a quadratic equation using the discriminant, with clear explanations, cases, graphs, examples, and common mistakes.
6.Applications of Quadratic Equations
Learn how quadratic equations are used in real-life situations, including number problems, geometry, motion, and practical applications, with clear explanations and examples.
Division of PolynomialsStandard Form of Quadratic Equation
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