RD Sharma Solutions for Class 10 Chapter 8 Quadratic Equations Exercise 8.4

RD Sharma Class 10 Solutions Chapter 8 Ex 8.4 PDF Free Download

The second method of solving quadratic equations is discussed in this exercise. Its called completing the square method. Not every student can grasp this method quickly. That’s why BYJU’S has created the RD Sharma Solutions Class 10 by subject experts to make students understand concepts easily and also clarify their doubts simultaneously. Students can also make use of the RD Sharma Solutions for Class 10 Maths Chapter 8 Quadratic Equations Exercise 8.4 PDF provided below.

RD Sharma Solutions for Class 10 Chapter 8 Quadratic Equations Exercise 8.4 Download PDF

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RD Sharma Solutions for Class 10 Chapter 8 Quadratic Equations 25
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Access RD Sharma Solutions for Class 10 Chapter 8 Quadratic Equations Exercise 8.4

Find the roots of the following quadratic equations (if they exist) by the method of completing the square.

1. x2 – 4√2 x + 6 = 0

Solution:

Given equation,

R D Sharma Solutions For Class 10 Maths Chapter 8 Quadratic Equations ex 8.4 - 1

Thus, the roots of the given quadratic equation are x = 3√2 and x = √2.

2. 2x2 – 7x + 3 = 0

Solution:

Given equation,

2x2 – 7x + 3 = 0


R D Sharma Solutions For Class 10 Maths Chapter 8 Quadratic Equations ex 8.4 - 2
R D Sharma Solutions For Class 10 Maths Chapter 8 Quadratic Equations ex 8.4 - 3

⇒ x = 12/4 = 3 or x = 2/4 = 1/2

Thus, the roots of the given quadratic equation are x = 3 and x = 1/2.

3. 3x2 + 11x + 10 = 0

Solution:

Given equation,

R D Sharma Solutions For Class 10 Maths Chapter 8 Quadratic Equations ex 8.4 - 4
R D Sharma Solutions For Class 10 Maths Chapter 8 Quadratic Equations ex 8.4 - 5

⇒ x = -5/3 = 3 or x = -2

Thus, the roots of the given quadratic equation are x = -5/3 and x = -2.

4. 2x2 + x – 4 = 0

Solution:

Given equation,

2x2 + x – 4 = 0


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R D Sharma Solutions For Class 10 Maths Chapter 8 Quadratic Equations ex 8.4 - 8
R D Sharma Solutions For Class 10 Maths Chapter 8 Quadratic Equations ex 8.4 - 7

Thus, the roots of the given quadratic equation are

5. 2x2 + x + 4 = 0

Solution:

Given equation,

2x2 + x + 4 = 0

x2 + x/2 + 2 = 0

R D Sharma Solutions For Class 10 Maths Chapter 8 Quadratic Equations ex 8.4 - 9
R D Sharma Solutions For Class 10 Maths Chapter 8 Quadratic Equations ex 8.4 - 10

Thus, the above are the two roots of the given quadratic equation.

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