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Byju's Answer
Standard IX
Mathematics
Linear Equation in One Variable
If 2xx2-2x+...
Question
If
2
x
x
2
−
2
x
+
1
=
1
2
, then find the value of
(
x
−
1
x
)
2
.
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Solution
Given,
2
x
x
2
−
2
x
+
1
=
1
2
or,
x
2
−
2
x
+
1
=
4
x
or,
x
2
−
6
x
+
1
=
0
or,
x
2
+
1
=
6
x
or,
x
+
1
x
=
6
......(1).
Now,
(
x
−
1
x
)
2
=
(
x
+
1
x
)
2
−
4.
x
.
1
x
=
6
2
−
4
=
32
. [ Using (1)]
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