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Byju's Answer
Standard XII
Mathematics
Nature of Roots
Determine the...
Question
Determine the nature of roots of the following quadratic equation :
2
x
2
+
5
x
+
5
=
0
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Solution
2
x
2
+
5
x
+
5
=
0
This is of the form
a
x
2
+
b
x
+
c
=
0
, where
a
=
2
,
b
=
5
,
c
=
5
Therefore,
D
=
b
2
−
4
a
c
=
25
−
40
=
−
15
<
0
Therefore, the equation has no real roots.
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