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Byju's Answer
Standard X
Mathematics
Quadratic Polynomial
If x+1/x=2 th...
Question
If
x
+
1
x
=
2
then the positive value of
√
x
+
1
√
x
will be
A
√
2
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B
2
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C
√
2
+
1
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D
1
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Solution
The correct option is
B
2
Given:
x
+
1
x
=
2
(
√
x
+
1
√
x
)
2
=
(
√
x
)
2
+
(
1
√
x
)
2
+
2
√
x
.
1
√
x
=
x
+
1
x
+
2
=
2
+
2
=
4
Hence,
(
√
x
+
1
√
x
)
2
= 4
Taking square root on both the sides we get
⇒
√
x
+
1
√
x
=
√
4
=
2
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