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Byju's Answer
Standard VI
Mathematics
Solving an Equation Using Transposition
Solve by fact...
Question
Solve by factorization and quadratic formula 2x/x-1 +2x-5/x-3=25/3
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Solution
Dear Student,
I
assume
your
given
equation
should
be
:
2
x
x
-
4
+
2
x
-
5
x
-
3
=
25
3
Here
is
the
answer
.
2
x
x
-
4
+
2
x
-
5
x
-
3
=
25
3
⇒
2
x
x
-
3
+
x
-
4
2
x
-
5
x
-
3
x
-
4
=
25
3
⇒
2
x
2
-
6
x
+
2
x
2
-
5
x
-
8
x
+
20
x
2
-
7
x
+
12
=
25
3
⇒
4
x
2
-
19
x
+
20
x
2
-
7
x
+
12
=
25
3
⇒
25
x
2
-
175
x
+
300
=
12
x
2
-
57
x
+
60
⇒
13
x
2
-
118
x
+
240
=
0
FACTORISATION
METHOD
:
⇒
13
x
2
-
78
x
-
40
x
+
240
=
0
⇒
13
x
x
-
6
-
40
x
-
6
=
0
⇒
13
x
-
40
x
-
6
=
0
⇒
x
=
40
13
or
x
=
6
QUADRATIC
FORMULA
:
a
=
13
;
b
=
-
118
;
c
=
240
Now
,
D
=
b
2
-
4
ac
=
-
118
2
-
4
13
240
=
13924
-
12480
=
1444
Now
,
x
=
-
b
±
D
2
a
=
118
±
1444
26
=
118
±
38
26
⇒
x
=
118
+
38
26
and
118
-
38
26
⇒
x
=
6
or
x
=
40
13
Regards
Suggest Corrections
0
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