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Byju's Answer
Standard X
Mathematics
Solving a Quadratic Equation by Factorization Method
Find the root...
Question
Find the roots of the quadratic equations
2
x
2
+
x
−
4
=
0
.
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Solution
2
x
2
+
x
−
4
=
0
⇒
2
x
2
−
4
x
+
2
x
−
4
=
0
⇒
2
x
(
x
−
2
)
+
2
(
x
−
2
)
=
0
⇒
(
x
−
2
)
(
2
x
+
2
)
=
0
⇒
(
x
−
2
)
2
(
x
+
1
)
=
0
⇒
(
x
+
1
)
(
x
−
2
)
=
0
∴
x
=
−
1
,
2
∴
Roots of the equation are
{
−
1
,
2
}
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0
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