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Byju's Answer
Standard X
Mathematics
Formation of a Quadratic Equation From It's Roots
Roots of quad...
Question
Roots of quadratic equations
3
x
2
−
x
−
10
=
0
are
A
2
,
5
3
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B
2
,
−
5
3
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C
−
2
,
−
5
3
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D
−
2
,
5
3
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Solution
The correct option is
A
2
,
−
5
3
Given equation is :
3
x
2
−
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
∴
x
=
2
,
−
5
3
∴
roots of the given equation are
2
,
−
5
3
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0
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