If 49x² - b = (7x + 1/2) (7x - 1/2), then the value of b is
a. 0
b. 1/√2
c. 1/4
d. 1/2

Solution:

It is given that

49x² - b = (7x + 1/2) (7x - 1/2)

Using the algebraic identity a² - b² = (a + b) (a - b)

49x² - b = 49x² - 1/4

Equating from both sides

b = 1/4

Therefore, the value of b is 1/4.

✦ Try This: If 36x² - b = (6x + 1/2) (6x - 1/2), then the value of b is

It is given that

36x² - b = (6x + 1/2) (6x - 1/2)

Using the algebraic identity a² - b² = (a + b) (a - b)

36x² - b = 36x² - 1/4

Equating from both sides

b = 1/4

Therefore, the value of b is 1/4.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 2

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NCERT Exemplar Class 9 Maths Exercise 2.1 Problem 20

If 49x² - b = (7x + 1/2) (7x - 1/2), then the value of b is a. 0, b. 1/√2, c. 1/4, d. 1/2

Summary:

Monomial is a type of polynomial with a single term. If 49x² - b = (7x + 1/2) (7x - 1/2), then the value of b is 1/4

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