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Byju's Answer
Standard XII
Mathematics
Range of Quadratic Expression
Find the comm...
Question
Find the common root of
x
2
−
4
x
+
5
=
0
an
x
2
−
12
x
+
35
=
0
Open in App
Solution
x
2
−
6
x
+
5
=
0
x
2
−
5
x
−
x
+
5
=
0
x
(
x
−
5
)
−
1
(
x
−
5
)
=
0
(
x
−
5
)
(
x
−
1
)
=
0
x
=
1
,
5
and
x
2
−
12
x
+
35
=
0
x
2
−
5
x
−
7
x
+
35
=
0
x
(
x
−
5
)
−
7
(
x
−
5
)
=
0
(
x
−
7
)
(
x
−
5
)
=
0
x
=
5
,
7
So the common root is
5
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