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Byju's Answer
Standard X
Mathematics
Nature of Roots
The roots of ...
Question
The roots of
a
x
2
+
b
x
+
c
=
0
,
a
≠
0
are real and unequal, if
(
b
2
-
4
a
c
)
(a) > 0
(b) = 0
(c) < 0
(d) none of these
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Solution
(a) > 0
The roots of the equation are real and unequal when
(
b
2
−
4
a
c
)
>
0
.
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Q.
If f(x) = ax
2
+ bx + c has no real zeros and a + b + c = 0, then
(a) c = 0
(b) c > 0
(c) c < 0
(d) None of these