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Byju's Answer
Standard XII
Mathematics
Theorems for Differentiability
If x+1x=2 t...
Question
If
x
+
1
x
=
2
then find the value of
x
4
+
1
x
4
.
Open in App
Solution
Given,
x
+
1
x
=
2
or,
x
2
−
2
x
+
1
=
0
or,
(
x
−
1
)
2
=
0
or,
x
=
1
,
1
.
Now for
x
=
1
we've,
x
4
+
1
x
4
=
1
4
+
1
1
4
=
1
+
1
=
2
.
Suggest Corrections
3
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