====== Chapter 04: Quadratic Equations ======
{{ :fsc:fsc_part_1_solutions:fsc-1-chap-04-ptb.jpg|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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====View online or download PDF====
  * Exercise 4.1 |  [[mdoku>fsc:fsc_part_1_solutions:ch04:viewer&cp=1&p=6&ch=04&fp=Ex_4_1_FSC_part1|View Online]] | [[pdf>files/fsc/fsc_part1/ch04/dn.php?file=Ex_4_1_FSC_part1.pdf|Download PDF]]

  * Exercise 4.2 |  [[mdoku>fsc:fsc_part_1_solutions:ch04:viewer&cp=1&p=13&ch=04&fp=Ex_4_2_FSC_part1|View Online]] | [[pdf>files/fsc/fsc_part1/ch04/dn.php?file=Ex_4_2_FSC_part1.pdf|Download PDF]]

  * Exercise 4.3 |  [[mdoku>fsc:fsc_part_1_solutions:ch04:viewer&cp=1&p=10&ch=04&fp=Ex_4_3_FSC_part1|View Online]] | [[pdf>files/fsc/fsc_part1/ch04/dn.php?file=Ex_4_3_FSC_part1.pdf|Download PDF]]

  * Exercise 4.4 |  [[mdoku>fsc:fsc_part_1_solutions:ch04:viewer&cp=1&p=6&ch=04&fp=Ex_4_4_FSC_part1|View Online]] | [[pdf>files/fsc/fsc_part1/ch04/dn.php?file=Ex_4_4_FSC_part1.pdf|Download PDF]]

  * Exercise 4.5 |  [[mdoku>fsc:fsc_part_1_solutions:ch04:viewer&cp=1&p=3&ch=04&fp=Ex_4_5_FSC_part1|View Online]] | [[pdf>files/fsc/fsc_part1/ch04/dn.php?file=Ex_4_5_FSC_part1.pdf|Download PDF]]

  * Exercise 4.6 |  [[mdoku>fsc:fsc_part_1_solutions:ch04:viewer&cp=1&p=4&ch=04&fp=Ex_4_6_FSC_part1|View Online]] | [[pdf>files/fsc/fsc_part1/ch04/dn.php?file=Ex_4_6_FSC_part1.pdf|Download PDF]]

  * Exercise 4.7 |  [[mdoku>fsc:fsc_part_1_solutions:ch04:viewer&cp=1&p=2&ch=04&fp=Ex_4_7_FSC_part1|View Online]] | [[pdf>files/fsc/fsc_part1/ch04/dn.php?file=Ex_4_7_FSC_part1.pdf|Download PDF]]

  * Exercise 4.8 |  [[mdoku>fsc:fsc_part_1_solutions:ch04:viewer&cp=1&p=4&ch=04&fp=Ex_4_8_FSC_part1|View Online]] | [[pdf>files/fsc/fsc_part1/ch04/dn.php?file=Ex_4_8_FSC_part1.pdf|Download PDF]]

  * Exercise 4.9 |  [[mdoku>fsc:fsc_part_1_solutions:ch04:viewer&cp=1&p=6&ch=04&fp=Ex_4_9_FSC_part1|View Online]] | [[pdf>files/fsc/fsc_part1/ch04/dn.php?file=Ex_4_9_FSC_part1.pdf|Download PDF]]

  * Exercise 4.10 |  [[mdoku>fsc:fsc_part_1_solutions:ch04:viewer&cp=1&p=7&ch=04&fp=Ex_4_10_FSC_part1|View Online]] | [[pdf>files/fsc/fsc_part1/ch04/dn.php?file=Ex_4_10_FSC_part1.pdf|Download PDF]]  
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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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  * Exercise 4.1 |  [[mdoku>fsc:fsc_part_1_solutions:ch04:view&cp=01&p=7&ch=04&fp=Ex-4-1-FSC-part1-M-Shahid|View Online]] | [[pdf>files/fsc/fsc_part1/ch04/dn.php?file=Ex-4-1-FSC-part1-M-Shahid.pdf|Download PDF]]

  * Exercise 4.2 |  [[mdoku>fsc:fsc_part_1_solutions:ch04:view&cp=01&p=18&ch=04&fp=Ex-4-2-FSC-part1-M-Shahid|View Online]] | [[pdf>files/fsc/fsc_part1/ch04/dn.php?file=Ex-4-2-FSC-part1-M-Shahid.pdf|Download PDF]]

  * Exercise 4.3 |  [[mdoku>fsc:fsc_part_1_solutions:ch04:view&cp=01&p=10&ch=04&fp=Ex-4-3-FSC-part1-M-Shahid|View Online]] | [[pdf>files/fsc/fsc_part1/ch04/dn.php?file=Ex-4-3-FSC-part1-M-Shahid.pdf|Download PDF]]

  * Exercise 4.4 |  [[mdoku>fsc:fsc_part_1_solutions:ch04:view&cp=01&p=7&ch=04&fp=Ex-4-4-FSC-part1-M-Shahid|View Online]] | [[pdf>files/fsc/fsc_part1/ch04/dn.php?file=Ex-4-4-FSC-part1-M-Shahid.pdf|Download PDF]]

  * Exercise 4.5 |  [[mdoku>fsc:fsc_part_1_solutions:ch04:view&cp=01&p=3&ch=04&fp=Ex-4-5-FSC-part1-M-Shahid|View Online]] | [[pdf>files/fsc/fsc_part1/ch04/dn.php?file=Ex-4-5-FSC-part1-M-Shahid.pdf|Download PDF]]

  * Exercise 4.6 |  [[mdoku>fsc:fsc_part_1_solutions:ch04:view&cp=01&p=5&ch=04&fp=Ex-4-6-FSC-part1-M-Shahid|View Online]] | [[pdf>files/fsc/fsc_part1/ch04/dn.php?file=Ex-4-6-FSC-part1-M-Shahid.pdf|Download PDF]]

  * Exercise 4.7 |  [[mdoku>fsc:fsc_part_1_solutions:ch04:view&cp=01&p=3&ch=04&fp=Ex-4-7-FSC-part1-M-Shahid|View Online]] | [[pdf>files/fsc/fsc_part1/ch04/dn.php?file=Ex-4-7-FSC-part1-M-Shahid.pdf|Download PDF]]

  * Exercise 4.8 |  [[mdoku>fsc:fsc_part_1_solutions:ch04:view&cp=01&p=8&ch=04&fp=Ex-4-8-FSC-part1-M-Shahid|View Online]] | [[pdf>files/fsc/fsc_part1/ch04/dn.php?file=Ex-4-8-FSC-part1-M-Shahid.pdf|Download PDF]]

  * Exercise 4.9 |  [[mdoku>fsc:fsc_part_1_solutions:ch04:view&cp=01&p=8&ch=04&fp=Ex-4-9-FSC-part1-M-Shahid|View Online]] | [[pdf>files/fsc/fsc_part1/ch04/dn.php?file=Ex-4-9-FSC-part1-M-Shahid.pdf|Download PDF]]

  * Exercise 4.10 |  [[mdoku>fsc:fsc_part_1_solutions:ch04:view&cp=01&p=9&ch=04&fp=Ex-4-10-FSC-part1-M-Shahid|View Online]] | [[pdf>files/fsc/fsc_part1/ch04/dn.php?file=Ex-4-10-FSC-part1-M-Shahid.pdf|Download PDF]]  
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====Notes by Akhtar Abbas====
The following notes are provided by Mr. [[people:akhtar]]. A video explanation of the solutions is available at his YouTube channel [[https://www.youtube.com/channel/UCQSr7vnuyMLtNcUFy-GenIQ|Suppose Math]].
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  * Exercise 4.1  |  {{ :fsc:fsc_part_1_solutions:ex-4-1-fsc-part1-akhtar-abbas.pdf |Download PDF}} NEW
  * Exercise 4.2  |  {{ :fsc:fsc_part_1_solutions:ex-4-2-fsc-part1-akhtar-abbas.pdf |Download PDF}} NEW
  * Exercise 4.3  |  {{ :fsc:fsc_part_1_solutions:ex-4-3-fsc-part1-akhtar-abbas.pdf |Download PDF}} NEW  
  * Exercise 4.4  |  {{ :fsc:fsc_part_1_solutions:ex-4-4-fsc-part1-akhtar-abbas.pdf |Download PDF}} NEW
  * Exercise 4.5  |  {{ :fsc:fsc_part_1_solutions:ex-4-5-fsc-part1-akhtar-abbas.pdf |Download PDF}} NEW
  * Exercise 4.6  |  {{ :fsc:fsc_part_1_solutions:ex-4-6-fsc-part1-akhtar-abbas.pdf |Download PDF}} NEW  
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====Short Questions====
The following short questions was send by Mr. [[people:akhtar]].
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  * Chapter 04 | [[aafsc1>short-question-ch04-fsc-part1-akhtar-abbas|View Online]] | {{:fsc:fsc_part_1_mcqs:short-question-ch04-fsc-part1-akhtar-abbas.pdf|Download PDF}} NEW
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