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✴QUESTION✴
If ( x + y) ² = 100, and (x - y)² = 4 , then find value of xy .
✴SOLUTION✴
Given Equation:-
- (x+y)² = 100
- (x + y ) = 10 ......(1)
And,
- (x - y )² = 4
- (x - y )= 2..........(2)
Addition of equation (1) and (2)
=> 2x = 12
=> x = 12/2
=>x = 6.
Keep value of x in equation (1)
=> 6 + y = 10
=> y = 10 - 6
=> y = 4 .
Value of xy :-
- xy = 6 × 4
- xy = 24 .
_____________________
ANSWER VERIFICATION:-
keep value of x and y in equation (1)
=> ( 6 + 4 )² = 100
=> (10)² = 100
=>100 = 100
L.H.S. = R.H.S.
So, we can say that value of x and y is correct.
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