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Byju's Answer
Standard XIII
Mathematics
Roster Form
The set of ro...
Question
The set of roots of the equations
3
x
2
−
5
x
−
2
=
0
can be written in roster form as
A
(
−
1
3
,
2
}
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B
(
−
2
,
1
3
}
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C
(
−
2
,
−
1
3
}
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D
(
−
1
3
,
2
)
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Solution
The correct option is
A
(
−
1
3
,
2
}
Given the quadratic equation:
3
x
2
−
5
x
−
2
=
0
⇒
3
x
2
−
6
x
+
x
−
2
=
0
⇒
(
3
x
+
1
)
(
x
−
2
)
=
0
⇒
x
=
−
1
3
,
2
Hence, we can write the set as:
{
−
1
3
,
2
}
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