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**1. Homework Statement**

Two charged particles, with charges q_1=q and q_2=4q, are located a distance d apart on the x axis. A third charged particle, with charge q_3=q, is placed on the x axis such that the magnitude of the force that charge 1 exerts on charge 3 is equal to the force that charge 2 exerts on charge 3.

Find the position of charge 3. Assume that all three charges are positive.

So charge 3 could be inbetween charge 1 and 2, or to the left of charge 1. The problem wants me to find "2 possible VALUES" of charge 3. How can i find a value when no values were given to me in the word problem. THey want the X_3,1, and X_3,2 in terms of Q, D, and K (coulomb constant).

**2. Homework Equations**

[tex] F_{\textrm{2 \,on \,3}} = k\frac{q_2 q_3}{d-x_3} = k\frac{4q^2}{d-x_3} [/tex]

and

[tex] F_{\textrm{1 \,on \,3}} = k\frac{q_1 q_3}{d-x_3} = k\frac{q^2}{x_3^2} [/tex]

**3. The Attempt at a Solution**

For an answer I get 4q^2 and -d

It says that -d is wrong. I figure out what I'm doing wrong.