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Byju's Answer
Standard X
Mathematics
Quadratic Equations
3 × 2+11 x+10...
Question
3
x
2
+
11
x
+
10
=
0
Open in App
Solution
Given:
3
x
2
+
11
x
+
10
=
0
⇒
3
x
2
+
(
6
x
+
5
x
)
+
10
=
0
⇒
3
x
2
+
6
x
+
5
x
+
10
=
0
⇒
3
x
(
x
+
2
)
+
5
(
x
+
2
)
=
0
⇒
(
3
x
+
5
)
(
x
+
2
)
=
0
⇒
3
x
+
5
=
0
or
x
+
2
=
0
⇒
x
=
−
5
3
or
x
=
−
2
Hence, the roots of the equation are
−
5
3
and
−
2
.
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0
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