Class XI Chapter 5 – Complex Numbers and Quadratic Equations Maths ______________________________________________________________________________ On comparing the given equation with We obtain a 1, b 3, and c 9 2 ax bx c 0 Therefore, the discriminant of the given equation is 2 2 D b 4ac 3 419 9 36 27 Therefore, the required solutions are b D 3 27 3 3 3 3 3 3i 1 i 2a 2 1 2 2 , Question 4: Solve the equation Solution 4: 2 x x 2 0 The given quadratic equation is 2 On comparing the given equation with ax bx c 0 , We obtain Therefore, the discriminant of the given equation is 2 2 D b 4ac 1 4 1 2 1 8 7 a 1, b 1, and c 2 Therefore, the required solutions are 2 x x 2 0 b D 1 7 1 7i 1 i 2a 2 1 2 Question 5: Solve the equation Solution 5: x 2 3x 5 0 The given quadratic equation is On comparing the given equation with We obtain a 1, b 3, and c 5 x 2 3x 5 0 2 ax bx c 0 Therefore, the discriminant of the given equation is 2 2 D b 4ac 3 415 9 20 **11** Therefore, the required solutions are b D 3 **11** 3 **11**i 1 i 2a 21 2 ,

Class XI Chapter 5 – Complex Numbers and Quadratic Equations Maths ______________________________________________________________________________ Question 6: Solve the equation Solution 6: x 2 x 2 0 The given quadratic equation is On comparing the given equation with We obtain a 1, b 1, and c 2 x 2 x 2 0 2 ax bx c 0 Therefore, the discriminant of the given equation is 2 D b ac 2 4 1 41 2 18 7 Therefore, the required solutions are b D 1 7 1 7i 1 i 2a 21 2 , Question 7: Solve the equation Solution 7: 2 2x x 2 0 The given quadratic equation is On comparing the given equation with We obtain a 2, b 1, and c 2 2 2x x 2 0 2 ax bx c 0 Therefore, the discriminant of the given equation is 2 2 D b 4ac 1 4 2 2 18 7 Therefore, the required solutions are b D 1 7 1 7i 1 i 2a 2 2 2 2 , Question 8: Solve the equation Solution 8: 2 3x 2x 3 3 0 The given quadratic equation is On comparing the given equation with We obtain a 3, b 2, and c 3 3 2 3x 2x 3 3 0 2 ax bx c 0 Therefore, the discriminant of the given equation is ,

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Class XI Chapter 2 - Relations and

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Class XI Chapter 12 - Introduction

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Class XI Chapter 13 - Limits and De

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Class XI Chapter 15 - Statistics Ma

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