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If x²+1/x2 = 11 find value of x-1/ x
x+1/x
x2-1/x2
Answers
Answered by
1
Answer:
Given, x+
x
1
=11.
We know, (a+b)
2
=a
2
+b
2
+2ab.
Then, x+
x
1
=11.
On squaring both sides, we get,
(x+
x
1
)
2
=11
2
x
2
+(
x
1
)
2
+2(x)(
x
1
)=121
x
2
+(
x
1
)
2
+2=121
x
2
+
x
2
1
=121−2=119
Step-by-step explanation:
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