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Byju's Answer
Standard XII
Mathematics
Nature of Roots
34. If the eq...
Question
34. If the equation x⁴-4x³+ax²+bx+1=0 has 4 positive roots, then the value of (|a|+|b|)/(a+b) is. 5/3/-5/-3
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Q.
If the equation
x
4
−
4
x
3
+
a
x
2
+
b
x
+
1
=
0
has four positive roots then
(
a
,
b
)
is
Q.
If the equation
5
x
5
−
25
x
4
+
a
x
3
+
b
x
2
+
c
x
−
5
=
0
has five positive roots, then the value of
2
a
+
3
b
+
2
c
is
Q.
If
2
x
3
+
a
x
2
+
b
x
+
4
=
0
,
a
,
b
>
0
has
3
real roots and the minimum value of
a
+
b
is
m
(
x
1
/
3
+
4
1
/
3
)
, then the value of
m
+
x
is
Q.
If a polynomial
f
(
x
)
=
4
x
4
−
a
x
3
+
b
x
2
−
c
x
+
5
,
(
a
,
b
,
c
ϵ
R
)
has four positive real roots
r
1
,
r
2
,
r
3
,
r
4
such that
r
1
2
+
r
2
4
+
r
3
5
+
r
4
8
=
1
Then value of a will be
Q.
If
2
x
3
+
a
x
2
+
b
x
+
4
=
0
,
a
,
b
>
0
has
3
real roots and the minimum value of
a
+
b
is
m
(
x
1
/
3
+
4
1
/
3
)
, then the value of
m
+
x
is
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