diff --git a/README.md b/README.md
index 22eb1cf..f104511 100644
--- a/README.md
+++ b/README.md
@@ -4,7 +4,10 @@
 Natrual Frequency 1 = 2sqrt(5) 
 Natural Frequency 2 =  0.5(sqrt(5*(sqrt(129)-9)))
 
+Note: In order to calculate the natural frequencies, the first matrix was simplified into a polynomial of degree 8. The poly() function was utilized ````poly(80 20 0 -4200 12000)```` to isolate the roots. The eig() function was utilized for the second, simplified matrix in order to isolate the eigenvalues for each natural frequency. 
+
 ![first work] (first work.png)
+![second work] (second work.png)
 ## 6 ##
 | # of segments | largest | smallest | # of eigenvalues |
 | --- | --- | --- | --- |