Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The number of roots of the equation,
(
(
x
−
1
)
(
x
−
3
)
(
x
−
2
)
(
x
−
4
)
)
x
−
e
x
(
(
x
+
1
)
(
x
+
3
)
(
x
+
2
)
(
x
+
4
)
)
x
=
0
\left( \frac{(x-1)(x-3)}{(x-2)(x-4)} \right)^x - e^x \left( \frac{(x+1)(x+3)}{(x+2)(x+4)} \right)^x = 0
(
(
x
−
2
)
(
x
−
4
)
(
x
−
1
)
(
x
−
3
)
)
x
−
e
x
(
(
x
+
2
)
(
x
+
4
)
(
x
+
1
)
(
x
+
3
)
)
x
=
0
.
Browse the problem library