Re-Write Transcendental Function

[James_1978]

1. When solving the Schroedinger equation for the finite potential one can obtain the transcendental equation:

k_1\cot{k_1 R} = -k_2
2. Where
k_1 = \sqrt{\frac{2m}{\hbar^{2}}(E+V_{o})}
k_2 = \sqrt{\frac{-2mE}{\hbar^{2}}}
The problem 4.6 in Krane (into to nuclear physics) ask to write the above equation in the form:

x = -\tan{bx} where x = \sqrt{\frac{-(V_{o}+E)}{E}}

The Attempt at a Solution

I can rewrite the equation in terms of $k_1$ and $k_2$ However, this does get on the form asked. I am unsure how to eliminate $\frac{2m}{\hbar^{2}}$] and get
$\tan{\frac{-(V_{o}+E)}{E}}$

 

[haruspex]

Can you write x in terms of just k₁ and k₂?

Edit: this appears to be a repost of https://www.physicsforums.com/threads/re-write-transcendental-function.936203/. Please do not do this. Reply to the response on the original thread.

Edit by mentor: I have closed the older thread. To the OP: Please do not delete the heading titles in the homework template.