if x-y= 9 and xy=16 then what is x²+y²
please answer with steps
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Answered by
4
Answer:
x²+y²
= (x-y)²+2xy
= (9)²+2×16
= 81+32
= 113
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Answered by
2
Given:- if x-y= 9 and xy=16 .
To Find :- Value of x² + y².
Answer :- Here , x - y = 9 and xy = 16 . So ;
=> x - y = 9
=> ( x - y )² = 9²
=> x² + y² - 2xy = 81
=> x² + y² - 2(16) = 81.
=> x² + y² - 32 = 81.
=> x² + y² = 81 + 32.
=> x² + y² = 113.
Hence the value of x²+y² is 113.
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