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Byju's Answer
Standard X
Mathematics
Multiplication of Rational Expressions
Find the valu...
Question
Find the value of x
1
x
+
5
+
1
x
=
1
x
−
4
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Solution
1
x
+
5
+
1
x
=
1
x
−
4
⇒
x
+
x
+
5
x
(
x
+
5
)
=
1
x
−
4
⇒
(
2
x
+
5
)
(
x
−
4
)
=
x
2
+
5
x
⇒
2
x
2
−
3
x
−
20
=
x
2
+
5
x
⇒
x
2
−
8
x
−
20
=
0
⇒
x
2
−
10
x
+
2
x
−
20
=
0
⇒
(
x
−
10
)
(
x
+
2
)
=
0
⇒
x
=
−
2
,
10
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Q.
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where
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Q.
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