RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 10. Quadratic Equations

Subject: Maths - Class 10th

Q. No. 5 of Exercise 10B

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5

Solve each of the following equations by using the method of completing the square:

2x2 + 5x - 3 = 0

Given: 2x2 + 5x - 3 = 0

4x2 + 10x - 6 = 0 (multiplying both sides by 2)


4x2 + 10x = 6


(adding on both sides)


using a2 + 2ab + b2 = (a + b)2



(taking square root on both sides)






Hence the roots of equation are


Chapter Exercises

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

More Exercise Questions

1

Solve each of the following equations by using the method of completing the square:

x2 - 6x + 3 = 0
2

Solve each of the following equations by using the method of completing the square:

x2 - 4x + 1 = 0
3

Solve each of the following equations by using the method of completing the square:

x2 + 8x - 2 = 0
4

Solve each of the following equations by using the method of completing the square:
5

Solve each of the following equations by using the method of completing the square:

2x2 + 5x - 3 = 0
6

Solve each of the following equations by using the method of completing the square:

3x2 - x - 2 = 0
7

Solve each of the following equations by using the method of completing the square:

8x2 - 14x - 15 = 0
8

Solve each of the following equations by using the method of completing the square:

7x2 + 3x - 4 = 0
9

Solve each of the following equations by using the method of completing the square:

3x2 - 2x - 1 = 0
10

Solve each of the following equations by using the method of completing the square:

5x2 - 6x - 2 = 0
11

Solve each of the following equations by using the method of completing the square:
12

Solve each of the following equations by using the method of completing the square:

4x2 + 4bx - (a2 - b2) = 0
13

Solve each of the following equations by using the method of completing the square:
14

Solve each of the following equations by using the method of completing the square:
15

Solve each of the following equations by using the method of completing the square:

√3x2 + 10 x + 7√3 = 0
16

By using the method of completing the square, show that the equation 2x2 + x + 4 = 0 has no real roots.

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