Find the value of x²+y² when x+y =9 and xy= 18
Answers
Answered by
4
Answer:
↪ x² + y² = 45
Step-by-step explanation:
Given :-
x + y = 9
xy = 18
To Find :-
x² + y²
Solution :-
xy = 18
x + y = 9
↪(x+ y)² = 9² [ Squaring both sides ]
↪x² + 2xy + y² = 81
↪x² + y² = 81 - 2xy
↪x² + y² = 81 - 2 × 18
↪ x² + y² = 81 -36
↪ x² + y² = 45
Therefore,
↪ x² + y² = 45
Answered by
18
Answer :-
- x² + y² = 45
Given :-
- The value of x² + y².
Solution :-
- Here the sum of x and y & product of x and y is given. We are asked to find the value of x² + y².
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We know that,
- (a + b)² = a² + 2ab + b²
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Where,
- a = x
- b = y
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Substituting the given values in this formula,
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Hence,
- The value of x² + y² is 45.
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