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Byju's Answer
Standard XII
Mathematics
Iota
If x+1x=√5....
Question
If
x
+
1
x
=
√
5
. Find the value if
x
2
+
1
x
2
Open in App
Solution
x
+
1
x
=
√
5
(
x
+
1
x
)
2
=
(
√
5
)
2
x
2
+
1
x
2
+
2
×
x
×
1
x
=
5
=
x
2
+
1
x
2
=
5
−
2
=
x
2
+
1
x
2
=
3
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2
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