E field problem, just a simple question

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SUMMARY

The discussion focuses on calculating the charge q' required to make the electric field at the center of an equilateral triangle zero, given two point charges of q at the base and a charge of Q = 5q at the apex. The midpoint charge q' must counterbalance the electric fields produced by the other charges. It is established that the value of q' can be expressed as a multiple of q, eliminating the need to know the signs of the charges involved.

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Two point particles, each having a charge equal to q, sit on the base of an equilateral triangle that has sides of length L as shown in the figure below. A third point particle that has a charge equal to Q = 5q sits at the apex of the triangle. A fourth point particle that has charge q' is placed at the midpoint of the baseline making the electric field at the center of the triangle equal to zero. What is the value of q' ? (The center is in the plane of the triangle and equidistant from all three vertices.)




My question is, if you want to find the value of q' don't you have to know the signs of some of the charges?
 
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I think you should determine the answer as a multiple of q. If you do that, you don't need to know the sign of q.
 

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