Two point charges are placed on the 𝑥- axis: 0.800 μC at 𝑥=0 and −0.200 μC at 𝑥=50.0 cm. At what point(s), if any, on the 𝑥- axis is the electric potential equal to zero?

Question

Please use SI units: 1uC = 1x10^-6 C, 1cm =1x10^-2 m

I got -0.667m and 0.4m but it's not correct.

Answer 1

LET the point be at distance x from Charge 1 and ( 0.5 -x )from Charge 2

Kq1`/ x + Kq2/(0.5-x) =0

80/x = 2/(0.5 -x)

x= 40/82 m =0.4878 m = 48.78 cm