Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Complete set of all real values of 'a' for which the equation
x
4
−
2
a
x
2
+
x
+
a
2
−
a
=
0
x^4 - 2ax^2 + x + a^2 - a = 0
x
4
−
2
a
x
2
+
x
+
a
2
−
a
=
0
has all its roots real: || | | (A)
[
3
4
,
∞
)
[\frac{3}{4}, \infty)
[
4
3
,
∞
)
(B)
[
1
,
∞
)
[1, \infty)
[
1
,
∞
)
(C)
[
2
,
∞
)
[2, \infty)
[
2
,
∞
)
(D)
(
0
,
∞
)
(0, \infty)
(
0
,
∞
)
Browse the problem library