Let's assume a point O, at x distance from q1 where electric field is 0 (point x lie on -x axis).
kq1 / x^2 - kq2 / x2^2 = 0
where, x2 = distance of point O from q2
x2 = x + (2.55 - 1) = x + 1.55
kq1 / x^2 - kq2 / (x + 1.55)^2 = 0
1.65*10^(-6) / x^2 = 2.20*10^(-6) / (x + 1.55)^2
take root both the sides,
1.284 / x = 1.483 / (x + 1.55)
1.284x + 1.991 = 1.483x
0.198x = 1.991
x = 10.01 m
distance of point O from origin,
x = 10.018 - 1
x = 9.018 m (at -x axis)
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