# Problem with equation / proving formula

## Homework Statement

I have to prove some formula, I got stuck in the process.

## Homework Equations

Formula to prove:
$$v_{0} = \frac{M+m}{m}\sqrt{2gus}$$
Valid equation that should get me to this formula:
$$\frac{m^2v_{0}^2}{2(M+m)} = gmus$$

## The Attempt at a Solution

$$v_{0}^2=\frac{2(M+m)}{m^2}gmus$$
$$v_{0}^2 = \frac{M+m}{m}2gus$$
$$v_{0} = \sqrt{\frac{M+m}{m}2gus}$$

I'm pretty sure my math has failed me here, that right handside of the equation seems fishy, or maybe book did a mistake?

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