If x=√2+1, find the value of (i)x²+1/x²
(ii)x³+1/x³
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Answer:
Correct option is
A
970
Given,
x
2
+
x
2
1
=98
(x+
x
1
)
2
=x
2
+
x
2
1
+2
98+2=100
∴x+
x
1
=10
(x+
x
1
)
3
=x
3
+
x
3
1
+3(x+
x
1
)
x
3
+
x
3
1
+3(x+
x
1
)=1000
x
3
+
x
3
1
=1000−3(10)=970
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