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Byju's Answer
Standard XII
Mathematics
Empty Set
Solve the fol...
Question
Solve the following equation:
4
2
x
−
5.4
1
x
+
4
=
0
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Solution
4
2
x
−
5.4
1
x
+
4
=
0
Let
1
x
=
t
⇒
x
≠
0
⇒
4
2
t
−
5.4
t
+
4
=
0
⇒
(
4
t
)
2
−
5.
(
4
t
)
+
4
=
0
Let
4
t
=
u
⇒
u
2
−
5
u
+
4
=
0
⇒
u
2
−
4
u
−
u
+
4
=
0
⇒
(
u
−
4
)
(
u
−
1
)
=
0
⇒
u
=
4
,
1
⇒
4
t
=
4
,
1
⇒
4
t
=
4
&
4
t
=
1
⇒
t
=
1
&
t
=
0
⇒
1
x
=
1
,
0
⇒
x
=
1
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