If x²+1/x²=2. Find x+1/x and x-1/x.Hence find also x²-1/x²
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Answered by
0
Answer:
We know, x
2
+
x
2
1
=(x−
x
1
)
2
+2
Given, x=5−2
6
.
Then,
x
1
=
5−2
6
1
=
(5−2
6
)(5+2
6
)
5+2
6
=
5
2
−(2
6
)
2
5+2
6
=
25−24
5+2
6
=
1
5+2
6
=5+2
6
.
Then, x
2
+
x
1
=(5−2
6
−(5+2
6
))
2
+2
∴(−4 6 ) 2 +2=96+2=98.
Therefore, the required value is 98.
Step-by-step explanation:
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