Trivial Problem With An Arrange

A fixed solid sphere with radius RR and charge density given by ρ(r)=ρ0r2\rho (r) = \dfrac{\rho_{0}}{r^2} is placed at a distance 2d2d from a fixed particle with charge qq (from the center of the sphere). If at a distance xx from the fixed particle there is a point charge at equilibrium, then xx can be written as adqbπRρ0+q.\dfrac{ad\sqrt{q}}{b\sqrt{\pi R \rho_{0}}+\sqrt{q}}.

Find the value of a+ba+b.

Assume both of the fixed charges are of the same sign.

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