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Standard VII
Mathematics
Question
If
x
+
1
x
=
2
, then
x
2
+
1
x
2
is equal to :
2
4
0
6
A
2
B
6
C
0
D
4
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Solution
Verified by Toppr
Given,
x
+
1
x
=
2
.
On squaring both side, we get,
(
x
+
1
x
)
2
=
4
.
We know,
(
a
+
b
)
2
=
a
2
+
b
2
+
2
a
b
.
⟹
x
2
+
(
1
x
)
2
+
2
(
x
)
(
1
x
)
=
4
⟹
x
2
+
1
x
2
=
4
−
2
=
2
.
Therefore, option
A
is correct.
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