If 48a²-b=(7a + 1/2)(7a - 1/2) , then the value of b is
A. 0
B. 1/4
C. 1/√2
D.1/2
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Given : 49a² - b = (7a + 1/2)(7a - 1/2)
[Mistake in the question]
To find : value of b
Solution :
We have , 49a² - b = (7a + 1/2)(7a - 1/2)
We know that (a + b)(a - b) = a² – b²
49a² - b = (7a)² - (½)²
49a² - b = 49a² - ¼
49a² - 49a² - b = - ¼
- b = - ¼
b = ¼
Hence the value of b is ¼.
Among the given options option (B) ¼ is correct.
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