How Do I Solve for w2 in a Con-Rod Performance Index Problem?

[AutoDude123]

Homework Statement

Please see the attachment for the question, thanks

Homework Equations

Also given in attachment

The Attempt at a Solution

After eliminating A, I have a w² term which I cannot eliminate and my l term is cubed and my ρ term is not squared. If anyone can guide me through step-by-step, that would be great.

Thanks!

 

[paisiello2]

Can you show your work up to the point where you get stuck?