A reverted compound gear train with value of 73.10+/-.01

[yesyes]

Homework Statement

My professor said that we needed to acquire a program that can solve the equation:
I have not had any success. Can anyone point me in the right direction?

Homework Equations

73.09 < (N3N5)/(N2N4) < 73.11

The Attempt at a Solution

 

[billy_joule]

Aquire a program or write one?
I found solutions with Wolframalpha.com (I had to break the problem up as the entire problem exceeded the computational time)

 

[yesyes]

He said acquire. Thanks.