RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 10. Quadratic Equations

Subject: Maths - Class 10th

Q. No. 1 of Exercise 10A

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1

Which of the following are quadratic equations in x?

(x + 2)3 = x3 – 8

The given equation is a quadratic equation.

Explanation Given


On getting reduced it becomes


=


Now, using


where a = 6, b = 12, c = 16


It is in the form (a ≠ 0, a, b, c are real numbers)


Chapter Exercises

Exercise 10A
Exercise 10B
Exercise 10C
Exercise 10D
Exercise 10E
Exercise 10F

More Exercise Questions

1

Which of the following are quadratic equations in x?

x2 - x + 3 = 0
1

Which of the following are quadratic equations in x?
1

Which of the following are quadratic equations in x?
1

Which of the following are quadratic equations in x?
1

Which of the following are quadratic equations in x?
1

Which of the following are quadratic equations in x?
1

Which of the following are quadratic equations in x?
1

Which of the following are quadratic equations in x?
1

Which of the following are quadratic equations in x?

(x + 2)3 = x3 – 8
1

Which of the following are quadratic equations in x?

2x + 3)(3x + 2) = 6(x - 1)(x - 2)
1

Which of the following are quadratic equations in x?
2

Which of the following are the roots of 3x2 + 2x - 1 = 0 ?

(i) - 1 (ii) 1/3 (iii) –1/2
3

Find the value of k for which x = 1 is a root of the equation x2 + kx + 3 = 0. Also, find the other root.
4

Find the values of a or b for which x = 3/4 or x = - 2 are the roots of the equation

ax2 + bx – 6 = 0
5

Solve each of the following quadratic equations:

(2x-3) (3x + 1) = 0
6

Solve each of the following quadratic equations:

4x2 + 5x = 0
7

Solve each of the following quadratic equations:

3x2 – 243 = 0
8

Solve each of the following quadratic equations:

2x2 + x - 6 = 0
9

Solve each of the following quadratic equations:

x2 + 6x + 5 = 0
10

Solve each of the following quadratic equations:

9x2 - 3x - 2 = 0
11

Solve each of the following quadratic equations:

x2 + 12x + 35 = 0
12

Solve each of the following quadratic equations:

x2 = 18x – 77
13

Solve each of the following quadratic equations:

6x2 + 11x + 3 = 0
14

Solve each of the following quadratic equations:

6x2 + x - 12 = 0
15

Solve each of the following quadratic equations:

3x2 - 2x - 1 = 0
16

Solve each of the following quadratic equations:

4x2 - 9x = 100
17

Solve each of the following quadratic equations:

15x2 - 28 = x
18

Solve each of the following quadratic equations:

4 - 11x = 3x2
19

Solve each of the following quadratic equations:

48x2 - 13x - 1 = 0
20

Solve each of the following quadratic equations:

x2 + 2√2 x – 6 = 0
21

Solve each of the following quadratic equations:

√3x2 + 10x + 7√3 = 0
22

Solve each of the following quadratic equations:

√3x2 + 11x + 6√3 = 0
23

Solve each of the following quadratic equations:

3√7x2 + 4x – √7 = 0
24

Solve each of the following quadratic equations:

√7x2 – 6x – 13√7 = 0
25

Solve each of the following quadratic equations:

4√6x2 – 13 x – 2√6 = 0
26

Solve each of the following quadratic equations:

3x2 – 2√6x + 2 = 0
27

Solve each of the following quadratic equations:

√3x2 – 2√2x – 2√3 = 0
28

Solve each of the following quadratic equations:

x2 – 3√5x + 10 = 0
29

Solve each of the following quadratic equations:

x2 – (√3 + 1) x + √3 = 0
30

Solve each of the following quadratic equations:

x2 + 3√3x – 30 = 0
31

Solve each of the following quadratic equations:

√2x2 + 7x + 5√2 = 0
32

Solve each of the following quadratic equations:

5x2 + 13x + 8 = 0
33

Solve each of the following quadratic equations:

x2 – (1+ √2)x + √2 = 0
34

Solve each of the following quadratic equations:

9x2 + 6x + 1 = 0
35

Solve each of the following quadratic equations:

100x2 - 20x + 1 = 0
36

Solve each of the following quadratic equations:
37

Solve each of the following quadratic equations:
38

Solve each of the following quadratic equations:
39

Solve each of the following quadratic equations:

2x2 + ax - a2 = 0
40

Solve each of the following quadratic equations:

4x2 + 4bx - (a2 - b2) = 0
41

Solve each of the following quadratic equations:

4x2 - 4a2x + (a4 - b4) = 0
42

Solve each of the following quadratic equations:

x2 + 5x - (a2 + a - 6) = 0
43

Solve each of the following quadratic equations:

x2 - 2ax - (4b2 - a2) = 0
44

Solve each of the following quadratic equations:

x2 - (2b - 1)x + (b2 - b - 20) = 0
45

Solve each of the following quadratic equations:

x2 + 6x - (a2 + 2a - 8) = 0
46

Solve each of the following quadratic equations:

abx2 + (b2 - ac)x - bc = 0
47

Solve each of the following quadratic equations:

x2 - 4ax - b2 + 4a2 = 0
48

Solve each of the following quadratic equations:

4x2 - 2 (a2 + b2) x + a2b2 = 0
49

Solve each of the following quadratic equations:

12abx2 - (9a2 - 8b2)x - 6ab = 0
50

Solve each of the following quadratic equations:

a2b2x2 + b2x - a2x - 1 = 0
51

Solve each of the following quadratic equations:

9x2 - 9 (a + b)x + (2 a2 + 5ab + 2b2) = 0
52

Solve each of the following quadratic equations:
53

Solve each of the following quadratic equations:
54

Solve each of the following quadratic equations:
55

Solve each of the following quadratic equations:
56

Solve each of the following quadratic equations:
57

Solve each of the following quadratic equations:
58

Solve each of the following quadratic equations:
59

Solve each of the following quadratic equations:
60

Solve each of the following quadratic equations:
61

Solve each of the following quadratic equations:
62

Solve each of the following quadratic equations:
63

Solve each of the following quadratic equations:
64

Solve each of the following quadratic equations:
65

Solve each of the following quadratic equations:
66

Solve each of the following quadratic equations:
67

Solve each of the following quadratic equations:
68

Solve each of the following quadratic equations:
69

Solve each of the following quadratic equations:
70

Solve each of the following quadratic equations:
71

Solve each of the following quadratic equations:

3(x + 2) + 3 - x = 10
72

Solve each of the following quadratic equations:

4(x + 1) + 4(1 - x) = 10
73

Solve each of the following quadratic equations:

22x - 3.2(x + 2) + 32 = 0

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