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Byju's Answer
Standard XII
Mathematics
Integration Using Substitution
Using propert...
Question
Using properties of proportional, solve the following equation for
′
x
′
:
x
3
+
3
x
3
x
2
+
1
=
341
91
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Solution
x
2
+
3
x
3
x
2
+
1
=
341
91
using dividendo and componendo rule
x
2
+
3
x
+
3
x
2
+
1
x
2
+
3
x
−
3
x
2
−
1
=
341
+
91
341
−
91
(
x
+
1
)
3
(
x
−
1
)
3
=
432
250
=
(
6
5
)
3
(
x
+
1
)
(
x
−
1
)
=
6
5
using cross-product, we get
5
(
x
+
1
)
=
6
(
x
−
1
)
5
x
+
5
=
6
x
−
6
x
=
11
(Answer)
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