Two positive charges q and 4q are located at a distance of 3 m from each other. At what point is the field strength

Two positive charges q and 4q are located at a distance of 3 m from each other. At what point is the field strength created by these charges equal to zero?

We solve by the equation.
1 / x ^ 2 = 4 / (3-x) ^ 2
(3-x) ^ 2 = 4x ^ 2
9-6x + x ^ 2 = 4x ^ 2
x ^ 2 + 2x-3 = 0
x = 1
Answer: at a point 1 m from the smaller charge.



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