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Byju's Answer
Standard XII
Mathematics
Nature of Roots
If ax^2+bx+c ...
Question
If ax^2+bx+c does not have any real root and 4a+c<2b then the number of real roots of the equation x^4+3x^2-a=
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Similar questions
Q.
The equation
a
x
2
+
b
x
+
c
= 0 does not have real roots and c < 0. Which of these is true?
Q.
If
c
<
0
and
a
x
2
+
b
x
+
c
=
0
does not have any real roots then prove that
9
a
+
3
b
+
c
<
0
Q.
The equation
a
x
2
+
b
x
+
c
= 0 does not have real roots and c < 0. Which of these is true?
Q.
If the quadratic equation
a
x
2
+
b
x
+
c
=
0
with real coefficients has real and distinct roots in
(
1
,
2
)
then
a
and
5
a
+
2
b
+
c
Q.
Consider the quadratic equation
a
x
2
+
b
x
+
(
a
2
+
b
2
+
c
2
−
a
b
−
b
c
−
c
a
)
=
0
(where
a
,
b
,
c
are distinct real numbers)
If the equation does not have any real roots then which of the following is always true.
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