Given that x-y= 8, xy= 5, find the value of x²+y²
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Answered by
23
Given:-
=>x-y=8
=>xy=5
To find:-
=>Value of x²+y²
Solution:-
By squaring both the sides,in the equation x-y=8,we get-
=>(x-y)²=(8)²
=>x²+y²-2xy=64
=>x²+y²-2(5)=64
=>x²+y²-10=64
=>x²+y²=64+10
=>x²+y²=74
Thus,value of x²+y² is 74.
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