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Byju's Answer
Standard XIII
Mathematics
Quadratic Equation
If x is a sol...
Question
If
x
is a solution of the equation
√
2
x
+
1
−
√
2
x
–
1
=
1
,
(
x
≥
1
2
)
,
then
√
4
x
2
–
1
is eaual to :
A
2
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B
3
4
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C
2
√
2
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D
1
2
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Solution
The correct option is
B
3
4
√
2
x
+
1
=
1
+
√
2
x
–
1
Squaring both the sides,
2
x
+
1
=
1
+
2
x
−
1
+
2
√
2
x
–
1
⇒
1
=
2
√
2
x
–
1
Squaring both the sides,
⇒
1
=
4
(
2
x
−
1
)
⇒
x
=
5
8
√
4
x
2
–
1
=
√
4
(
5
8
)
2
–
1
=
3
4
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9
Similar questions
Q.
If
x
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√
2
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+
1
−
√
2
x
−
1
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≥
1
2
)
,
then
√
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−
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