Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Find the number of solutions of the equation
tan
(
∑
r
=
1
5
cot
−
1
(
2
r
2
)
)
=
5
x
+
6
6
x
+
5
\tan\left(\sum_{r=1}^{5} \cot^{-1}(2r^2)\right) = \frac{5x+6}{6x+5}
tan
(
∑
r
=
1
5
cot
−
1
(
2
r
2
)
)
=
6
x
+
5
5
x
+
6
.
Browse the problem library