Question

A2-b2/(a-b)2 = 2 where a=4 b=? (a) 2/3 (b) 3/2 (c) 4/3

Answer 1

Answer:

4/3

Step-by-step explanation:

=>(a2-b2)/(a-b)2=2

=>(a-b)(a+b)/(a-b)2=2

=>(a+b)/(a-b)=2

substitute a=4,

=>(4+b)/(4-b)=2

=>4+b=2(4-b)

=>4+b=8-2b

=>3b=8-4

=>b=4/3

Answer 2

Given :

a² - b² / ( a - b) ² = 2

a = 4

To find :

b = ?

Solution :

a² - b² / ( a - b) ² = 2

( a - b ) ( a + b ) / ( a - b ) ² = 2

( a - b ) ( a + b ) / ( a - b ) ( a - b) =2

( a + b ) / ( a - b ) = 2

substituting value of a

a = 4

( 4 + b ) / ( 4 - b ) = 2

4 + b = 2 ( 4 - b )

4 + b = 8 - 2b

b + 2b = 8 - 4

3b = 4

b = 4/3

Hence b = 4/3

correct option is ( c ) 4/3