Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Problem
Problem
A function
f
(
x
)
f(x)
f
(
x
)
is such that
f
(
x
)
=
0
f(x) = 0
f
(
x
)
=
0
has 8 distinct real roots and
f
(
x
)
=
f
(
6
−
x
)
f(x) = f(6-x)
f
(
x
)
=
f
(
6
−
x
)
for
x
∈
R
x \in \mathbb{R}
x
∈
R
. Sum of real roots of the equation
f
(
x
)
=
0
f(x) = 0
f
(
x
)
=
0
is
Browse the problem library