If (x²+1/x²) =7,find the value of
(1) (x+1/x)
(2) (x-1/x)
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Ans:- Given:-
x²+1/x² = 7
To find, (x+1/x) and (x-1/x)
Solution:-
=> x²+1/x² = 7
=> (x+1/x)²-2×(x)×(1/x) = 7
=> (x+1/x)² -2 = 7
=> (x+1/x)²= 9
=> (x+1/x) = √9 = ±3
Again,
=> x²+1/x² = 7
=> (x-1/x)²+2×(x)×(1/x) = 7
=> (x-1/x)²+2 = 7
=> (x-1/x)² = 5
=> (x-1/x) = √5
here is your answer
hope it will help you
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