RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3

These Solutions are part of RD Sharma Class 10 Solutions. Here we have given RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3. You must go through NCERT Solutions for Class 10 Maths to get better score in CBSE Board exams along with RS Aggarwal Class 10 Solutions.

Other Exercises

Solve the following quadratic equations by factorization.
Question 1.
(x – 4) (x + 2) = 0
Solution:
(x – 4) (x + 2) = 0
Either x – 4 = 0, then x = 4
or x + 2, = 0, then x = -2
Roots are x = 4, -2

Question 2.
(2x + 3) (3x – 7) = 0
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 1

Question 3.
3x2 – 14x – 5 = 0 (C.B.S.E. 1999C)
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 2
Roots are x = 5, \(\frac { -1 }{ 3 }\)

Question 4.
9x2 – 3x – 2 = 0
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 3

Question 5.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 4
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 5

Question 6.
6x2 + 11x + 3 = 0
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 6

Question 7.
5x2 – 3x – 2 = 0
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 7

Question 8.
48x2 – 13x – 1 =0
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 8
Roots are x = \(\frac { 1 }{ 3 }\) , \(\frac { -1 }{ 16 }\)

Question 9.
3x2 = – 11x – 10
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 9

Question 10.
25x (x + 1) = -4
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 10

Question 11.
16x – \(\frac { 10 }{ x }\) = 27 [CBSE 2014]
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 11
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 12

Question 12.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 13
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 14

Question 13.
x – \(\frac { 1 }{ x }\) = 3, x ≠ 0 [NCERT, CBSE 2010]
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 15
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 16

Question 14.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 17
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 18

Question 15.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 19
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 20
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 21

Question 16.
a2x2 – 3abx + 2b2 = 0
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 22

Question 17.
9x2 – 6b2x – (a4 – b4) = 0 [CBSE 2015]
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 23
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 24

Question 18.
4x2 + 4bx – (a2 – b2) = 0
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 25
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 26

Question 19.
ax2 + (4a2 – 3b)x- 12ab = 0
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 27

Question 20.
2x2 + ax – a2 = 0
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 28

Question 21.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 29
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 30
x2 = 16
x = ±4

Question 22.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 31
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 32

Question 23.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 33
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 34
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 35

Question 24.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 36
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 37
Roots are 4, \(\frac { -2 }{ 9 }\)

Question 25.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 38
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 39
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 40

Question 26.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 41
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 42

Question 27.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 43
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 44
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 45

Question 28.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 46
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 47

Question 29.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 48
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 49

Question 30.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 50
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 51

Question 31.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 52
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 53
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 54

Question 32.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 55
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 56
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 57

Question 33.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 58
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 59

Question 34.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 60
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 61

Question 35.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 62
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 63
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 64

Question 36.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 65
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 66

Question 37.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 67
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 68
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 69

Question 38.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 70
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 71
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 72

Question 39.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 73
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 74

Question 40.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 75
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 76

Question 41.
x² – (√2 + 1) x + √2 = 0
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 77
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 78

Question 42.
3x² – 2√6x + 2 = 0 [NCERT, CBSE 2010]
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 79

Question 43.
√2 x² + 7x + 5√2 = 0
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 80

Question 44.
\(\frac { m }{ n }\) x² + \(\frac { n }{ m }\) = 1 – 2x
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 81
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 82

Question 45.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 83
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 84
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 85

Question 46.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 86
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 87
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 88

Question 47.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 89
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 90

Question 48.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 91
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 92
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 93

Question 49.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 94
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 95
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 96

Question 50.
x² + 2ab = (2a + b) x
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 97

Question 51.
(a + b)2 x² – 4abx – (a – b)2 = 0
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 98
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 99

Question 52.
a (x² + 1) – x (a² + 1) = 0
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 100

Question 53.
x² – x – a (a + 1) = 0
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 101

Question 54.
x² + (a + \(\frac { 1 }{ a }\)) x + 1 = 0
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 102
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 103

Question 55.
abx² + (b² – ac) x – bc = 0 (C.B.S.E. 2005)
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 104

Question 56.
a²b²x² + b²x – a²x – 1 = 0 (C.B.S.E. 2005)
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 105

Question 57.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 106
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 107
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 108

Question 58.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 109
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 110
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 111

Question 59.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 112
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 113
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 114
⇒ x = 0
x = 0, -7

Question 60.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 115
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 116
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 117

Question 61.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 118
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 119
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 120
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 121

Question 62.
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 122
Solution:
RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 123

Hope given RD Sharma Class 10 Solutions Chapter 4 Quadratic Equations Ex 4.3 are helpful to complete your math homework.

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