RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 10. Quadratic Equations

Subject: Maths - Class 10th

Q. No. 6 of Exercise 10A

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6

Solve each of the following quadratic equations:

4x2 + 5x = 0


x(4x + 5) = 0 (On taking x common)


x = 0 or (4x + 5) = 0


x = (-5)/4


Roots of equation are 0, (-5)/4


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?
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Which of the following are quadratic equations in x?
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Which of the following are quadratic equations in x?
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1

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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

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5

Solve each of the following quadratic equations:

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6

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7

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8

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9

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10

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11

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12

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13

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14

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6x2 + x - 12 = 0
15

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3x2 - 2x - 1 = 0
16

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4x2 - 9x = 100
17

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15x2 - 28 = x
18

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4 - 11x = 3x2
19

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48x2 - 13x - 1 = 0
20

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x2 + 2√2 x – 6 = 0
21

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√3x2 + 10x + 7√3 = 0
22

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√3x2 + 11x + 6√3 = 0
23

Solve each of the following quadratic equations:

3√7x2 + 4x – √7 = 0
24

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25

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26

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27

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28

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29

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30

Solve each of the following quadratic equations:

x2 + 3√3x – 30 = 0
31

Solve each of the following quadratic equations:

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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:

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35

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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

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40

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41

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42

Solve each of the following quadratic equations:

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43

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44

Solve each of the following quadratic equations:

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

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

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

Solve each of the following quadratic equations:

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

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49

Solve each of the following quadratic equations:

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

Solve each of the following quadratic equations:

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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

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56

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57

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58

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59

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60

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61

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62

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63

Solve each of the following quadratic equations:
64

Solve each of the following quadratic equations:
65

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66

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67

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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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