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Byju's Answer
Standard XII
Mathematics
Local Maxima
Solve the fol...
Question
Solve the following equation:
2
x
−
3
x
2
−
2
x
+
3
=
3
x
−
5
x
2
−
3
x
+
5
x
lies in
[
0
,
2
]
If true then enter
1
and if false then enter
0
Open in App
Solution
Given,
2
x
−
3
x
2
−
2
x
+
3
=
3
x
−
5
x
2
−
3
x
+
5
,
On cross multiplying we get,
∴
(
x
2
−
2
x
+
3
)
(
3
x
−
5
)
=
(
2
x
−
3
)
(
x
2
−
3
x
+
5
)
3
x
3
−
11
x
2
+
19
x
−
15
=
2
x
3
−
9
x
2
+
19
x
−
15
x
3
−
2
x
2
=
0
x
2
(
x
−
2
)
=
0
x
=
0
,
2
Suggest Corrections
1
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