Electric Potential From Electric Field

[doubedylan]

Homework Statement

Two particles, of charges q₁ and q₂ are separated by distance d. The net electric field due to the particles is zero @ x=d/4.
With V=0 @ infinity, locate (in terms of d) any point on the x axis (other than infinity) at which the electric potential due to the two particles is zero.

Homework Equations

V=-$$\int$$$$^{f}_{i}$$ ($$\vec{E}$$ $$\bullet$$ d$$\vec{s}$$)

The Attempt at a Solution

Seems too obvious to be true, but I think V = 0 @ d/4 since E=0 as well.
Anyone see where else is could be?

 

[w3390]

Pretend like the two particles are equidistant from the origin, therefore the origin is the middle of the two charges. When finding potential at a point, it is the potential of one charge on the point plus the potential of the other charge on the point. Potential is not a vector, so I believe if the charges are the same, you will find your answer in the middle of the two charges.