Question

if 9x^2-b=(3x+1/2)(3x-1/2), then the value of b is​

Answer 1

ANSWER:

b=1/4

TO FIND:

b=??

IDENTITY USED:

(a+b)(a-b)=a²-b²

EXPLANATION:

$9 {x}^{2} - b = (\frac{6x + 1}{2} ) (\frac{6x - 1}{2} ) \\ 9 {x}^{2} - b = \frac{ {(6x)}^{2} - {1}^{2} }{4} \\ b = 9 {x}^{2} - ( \frac{36 {x}^{2} - 1}{4} ) \\ b = \frac{36 {x}^{2}- 36 {x}^{2} + 1 }{4 } \\ b = \frac{1}{4}$

HENCE THE VALUE OF b=1/4