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Byju's Answer
Standard IX
Mathematics
Direct Proportionality
3 x-4 3-x+1 3...
Question
(
3
x
-
4
)
3
-
(
x
+
1
)
3
(
3
x
-
4
)
3
+
(
x
+
1
)
3
=
61
189
Open in App
Solution
3
x
-
4
3
-
x
+
1
3
3
x
-
4
3
+
x
+
1
3
=
61
189
⇒
3
x
-
4
3
-
x
+
1
3
+
3
x
-
4
3
+
x
+
1
3
3
x
-
4
3
-
x
+
1
3
-
3
x
-
4
3
-
x
+
1
3
=
61
+
189
61
-
189
(
Componendo
and
dividendo
)
⇒
2
3
x
-
4
3
-
2
x
+
1
3
=
250
-
128
⇒
3
x
-
4
3
x
+
1
3
=
125
64
⇒
3
x
-
4
x
+
1
=
5
4
By
cross
-
multiplying
,
we
get
:
12
x
-
16
=
5
x
+
5
⇒
7
x
=
21
⇒
x
=
3
Therefore, x = 3 is the solution.
Suggest Corrections
1
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Q.
Solve the following equations.
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(vi)
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+
1
3
3
x
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4
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=
61
189
Q.
solve the equation:
(
3
x
−
4
)
3
−
(
x
+
1
)
3
(
3
x
−
4
)
3
+
(
x
+
1
)
3
=
61
189
Q.
Solve the following equation for
(
x
≥
0
)
(
3
x
−
4
)
3
−
(
x
+
1
)
3
(
3
x
−
4
)
3
+
(
x
+
1
)
3
=
61
189
Q.
Simplify (i)
(
3
x
+
4
)
3
−
(
3
x
−
4
)
3
(ii)
(
x
+
2
x
)
3
+
(
x
−
2
x
)
3
Q.
lim
x
→
∞
3
x
-
4
3
x
+
2
x
+
1
3
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