the value of x2 + y2 if x+y =7;xy =12 is----------------
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Answered by
4
Solve the question as follows:
(x+y)²= x² + y² + 2xy
49= x²+y² +24
25= x²+y²
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Answered by
11
Correct Question :-
Find the value of x² + y², if x + y = 7, xy = 12.
Answer :-
25
Solution :-
We know that
(x + y)² = x² + y² + 2xy
Here
• x + y = 7
• xy = 12
By substituting the values
⇒ (7)² = x² + y² + 2(12)
⇒ 49 = x² + y² + 24
Transpose 24 to LHS ( + 24 becomes - 24)
⇒ 49 - 24 = x² + y²
⇒ 25 = x² + y²
⇒ x² + y² = 25
Therefore the value of x² + y², if x + y =7; xy =12 is 25
Verification :-
(x + y)² = x² + y² + 2xy
⇒ (7)² = 25 + 2(12)
⇒ 49 = 25 + 24
⇒ 49 = 49
Identity used :-
• (x + y)² = x² + y² + 2xy
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