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Question

Question 20
If 49x2b=(7x+12)(7x12),
then the value of b is

A) 0
B) 12
C) 14
D) 12

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Solution

Given,
(49x2b)=(7x+12)(7x12)
[49x2(b)2]=[(7x)2(12)2][using identity, (a+b)(ab)=a2b2]
49x2(b)2=49x2(12)2
(b)2=(12)2
(b)2=(12)2 [multiplying both sides by -1]
b=14
The answer is C.

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