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**1. Homework Statement**

## Homework Equations

g = (Gm)/r

^{2}

## The Attempt at a Solution

I tried doing (Gm

_{1})/a

^{2}= (Gm

_{2})/(r-a)

^{2}where a is equal to the distance from the position we're trying to find to the center of the most massive object but end up getting a quadratic in the denominator on the right side. The answer in the back of the textbook is this:

Thank you!