Where Does the Electric Potential Equal Zero Along the X-axis?

[cuppy]

Two charges lie on the x-axis +2q at the origin and -3q at x=5m. The point on the x-axis where the electric potential has a zero value is??

relevant equations-
V=kq/r

my solution-
since electric potential is a scalar quantity i reasoned that when you add the potentials of both charges and equate that to zero i should be able to find where electric potential is zero. i drew out a diagram and my working out is -

V= k(2q)/x + k(-3q)/5-x = 0

rearranging 2kq(5-x)=3kqx

the k and q cancel giving 10-2x=5 ===> solving gives x=2.0m.

have i made any errors in my working or is it all good? thanks in advance

 

[jackiefrost]

Yep - looks good.