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Byju's Answer
Standard XII
Mathematics
Property 2
If x+1x=4, ...
Question
If
(
x
+
1
x
)
=
4
, find the values of
x
2
+
1
x
2
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Solution
It is given that;
⇒
x
+
1
x
=
4
Squaring both sides,
⇒
(
x
+
1
x
)
2
=
16
⇒
x
2
+
1
x
2
+
2.
x
.
1
x
=
16
⇒
x
2
+
1
x
2
=
16
−
2
⇒
x
2
+
1
x
2
=
14
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4
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