Theory of quadratic equations

COURSE DESCRIPTION

• Nature of the roots of a quadratic equation
• Cube roots of unity and their properties
  • The cube roots of unity
  • Recognize complex cube roots of unity
  • Properties of cube roots of unity
• Use of properties of cube roots of unity to solve appropriate problems
• Roots and co-efficients of a quadratic equation
  • Relation between roots and co-efficients of a quadratic equation
  • The sum and the product of the roots of a given quadratic equations without solving it
  • To find unknown values involved in a given quadratic equation
• Symmetric functions of the roots of a quadratic equation
  • Definition
  • Evaluate a symmetric function of roots of a quadratic equation in terms of its co-efficients
• Formation of a quadratic equation
• Synthetic division
  • Describe the synthetic division method
  • Use of synthetic division
• Simultaneous equation

All examples, exercises including MCQ’s

• Conceptual overview of all the above topics
• Application and conceptual base quiz of students which consist of short questions, MCQS and Long questions.

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