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## Homework Statement

This is more of a math question but:

There are two particles fixed in place: a particle of charge +8q at the origin and a particle of charge -2q

at x=L. At what point (other than infinitely far away) can a proton be placed so that it is in equilibrium

## Homework Equations

## The Attempt at a Solution

The point should be at the right of the -2q charge, so it is farther away from the charge +8q.

diagram:

that was the answer, but would it be possible to use

8q / (L+x)

^{2}= 2q / (x)

^{2}

where L is the distance between the charges 8q and -2q.

I get x = L using this set up instead.

what went wrong? Shouldn't I get the same answer?