## RD Sharma class 10 solutions Chapter 8 Quadratic Equations Ex 8.3

### RD Sharma Class 10 Solutions Quadratic Equations Exercise 8.3

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:

Question 3.

3x^{2} – 14x – 5 = 0 (C.B.S.E. 1999C)

Solution:

Roots are x = 5, \(\frac { -1 }{ 3 }\)

Question 4.

9x^{2} – 3x – 2 = 0

Solution:

Question 5.

Solution:

Question 6.

6x^{2} + 11x + 3 = 0

Solution:

Question 7.

5x^{2} – 3x – 2 = 0

Solution:

Question 8.

48x^{2} – 13x – 1 =0

Solution:

Roots are x = \(\frac { 1 }{ 3 }\) , \(\frac { -1 }{ 16 }\)

Question 9.

3x^{2} = – 11x – 10

Solution:

Question 10.

25x (x + 1) = -4

Solution:

Question 11.

16x – \(\frac { 10 }{ x }\) = 27 [CBSE 2014]

Solution:

Question 12.

Solution:

Question 13.

x – \(\frac { 1 }{ x }\) = 3, x ≠ 0 [NCERT, CBSE 2010]

Solution:

Question 14.

Solution:

Question 15.

Solution:

Question 16.

a^{2}x^{2} – 3abx + 2b^{2} = 0

Solution:

Question 17.

9x^{2} – 6b^{2}x – (a^{4} – b^{4}) = 0 [CBSE 2015]

Solution:

Question 18.

4x^{2} + 4bx – (a^{2} – b^{2}) = 0

Solution:

Question 19.

ax^{2} + (4a^{2} – 3b)x- 12ab = 0

Solution:

Question 20.

2x^{2} + ax – a^{2} = 0

Solution:

Question 21.

Solution:

x^{2} = 16

x = ±4

Question 22.

Solution:

Question 23.

Solution:

Question 24.

Solution:

Roots are 4, \(\frac { -2 }{ 9 }\)

Question 25.

Solution:

Question 26.

Solution:

Question 27.

Solution:

Question 28.

Solution:

Question 29.

Solution:

Question 30.

Solution:

Question 31.

Solution:

Question 32.

Solution:

Question 33.

Solution:

Question 34.

Solution:

Question 35.

Solution:

Question 36.

Solution:

Question 37.

Solution:

Question 38.

Solution:

Question 39.

Solution:

Question 40.

Solution:

Question 41.

x² – (√2 + 1) x + √2 = 0

Solution:

Question 42.

3x² – 2√6x + 2 = 0 [NCERT, CBSE 2010]

Solution:

Question 43.

√2 x² + 7x + 5√2 = 0

Solution:

Question 44.

\(\frac { m }{ n }\) x² + \(\frac { n }{ m }\) = 1 – 2x

Solution:

Question 45.

Solution:

Question 46.

Solution:

Question 47.

Solution:

Question 48.

Solution:

Question 49.

Solution:

Question 50.

x² + 2ab = (2a + b) x

Solution:

Question 51.

(a + b)^{2} x² – 4abx – (a – b)2 = 0

Solution:

Question 52.

a (x² + 1) – x (a² + 1) = 0

Solution:

Question 53.

x² – x – a (a + 1) = 0

Solution:

Question 54.

x² + (a + \(\frac { 1 }{ a }\)) x + 1 = 0

Solution:

Question 55.

abx² + (b² – ac) x – bc = 0 (C.B.S.E. 2005)

Solution:

Question 56.

a²b²x² + b²x – a²x – 1 = 0 (C.B.S.E. 2005)

Solution:

Question 57.

Solution:

Question 58.

Solution:

Question 59.

Solution:

⇒ x = 0

x = 0, -7

Question 60.

Solution:

Question 61.

Solution:

Question 62.

Solution:

### Exercise 8.3

Solution 30:

#### RD Sharma Class 10 Solutions

- Chapter 8 Quadratic Equations Ex 8.1
- Chapter 8 Quadratic Equations Ex 8.2
- Chapter 8 Quadratic Equations Ex 8.3
- Chapter 8 Quadratic Equations Ex 8.4
- Chapter 8 Quadratic Equations Ex 8.5
- Chapter 8 Quadratic Equations Ex 8.6
- Chapter 8 Quadratic Equations Ex 8.7
- Chapter 8 Quadratic Equations Ex 8.8
- Chapter 8 Quadratic Equations Ex 8.9
- Chapter 8 Quadratic Equations Ex 8.10
- Chapter 8 Quadratic Equations Ex 8.11
- Chapter 8 Quadratic Equations Ex 8.12
- Chapter 8 Quadratic Equations Ex 8.13