Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Problem
Problem
If equation
x
2
−
3
x
+
4
=
0
x^2 - 3x + 4 = 0
x
2
−
3
x
+
4
=
0
and
4
x
2
−
2
[
3
a
+
b
]
x
+
b
=
0
4x^2 - 2[3a + b]x + b = 0
4
x
2
−
2
[
3
a
+
b
]
x
+
b
=
0
(
a
,
b
∈
R
a, b \in R
a
,
b
∈
R
) have a common root then the complete set of values of
a
a
a
, is Note:
[
k
]
[k]
[
k
]
denotes the largest integer less than or equal to
k
k
k
. (a)
[
−
11
3
,
−
10
3
)
\left[-\frac{11}{3}, -\frac{10}{3}\right)
[
−
3
11
,
−
3
10
)
(b)
[
−
10
3
,
−
3
]
\left[-\frac{10}{3}, -3\right]
[
−
3
10
,
−
3
]
(c)
[
−
10
3
,
−
3
)
\left[-\frac{10}{3}, -3\right)
[
−
3
10
,
−
3
)
(d)
(
3
,
10
3
]
\left(3, \frac{10}{3}\right]
(
3
,
3
10
]
Browse the problem library