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# Chapter 04: Quadratic Equations

Notes (Solutions) of Chapter 04: Quadratic Equations, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board, Lahore.

### Contents & summary

- Introduction
- Solutions of Quadratic Equations
- Exercise 4.1

- Solutions of Equations Reducible to the Quadratic Equation
- Exercise 4.2
- Exercise 4.3

- Three Cube Roots of Unity
- Properties of Cube Roots of Unity

- Four Fourth Roots of Unity
- Properties of Four Fourth Roots of Unity
- Exercise 4.4

- Polynomial Function
- Theorems
- Synthetic Division
- Exercise 4.5

- Relations between the Roots and the Coefficients of a Quadratic Equation
- Formation of an Equation whose Roots are given
- Exercise 4.6

- Nature of the Roots of Quadratic Equation
- Exercise 4.7

- System of two Equations Involving two Variables
- Exercise 4.8
- Exercise 4.9

- Problems on Quadratic Equations
- Exercise 4.10

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### Notes by M. Shahid Nadeem

The following notes are provided by **M. Shahid Nadeem**, Lecturer in Mathematics, Punjab College Wah Cantt. We are very thankful to him for providing these notes.

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