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CDS Model Paper 1 Mathematics
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© examsnet.com
Question : 84 of 100
Marks:
+1
,
-0
If
√
1
−
√
x
4
−
x
2
=
x
−
1
, then what is the value of
x
?
−
5
4
5
4
1
4
−
1
4
Validate
Solution:
∵
√
1
−
√
x
4
−
x
2
=
x
−
1
Squaring on both sides
⇒
1
−
√
x
4
−
x
2
=
(
x
−
1
)
2
⇒
1
−
√
x
4
−
x
2
=
(
x
2
−
2
x
+
1
)
⇒
−
√
x
4
−
x
2
=
(
x
2
−
2
x
)
Squaring on both sides
⇒
x
4
−
x
2
=
(
x
2
−
2
x
)
2
⇒
x
4
−
x
2
=
x
4
+
4
x
2
−
4
x
3
⇒
4
x
3
−
x
2
−
4
x
2
=
0
⇒
4
x
3
−
5
x
2
=
0
⇒
x
2
(
4
x
−
5
)
=
0
⇒
x
=
0
,
5
4
© examsnet.com
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