Given total charge, find individual charges.

[psilovethomas]

Homework Statement

A total charge of 7.47x10^-6 C is distributed on two different small metal spheres. When the spheres are 6.35 cm apart, they each feel a repulsive force of 15.5011 N. How much charge is on each sphere?

Homework Equations

F=k Qq/r^2
Q1+Q2=7.47x10^-6C

The Attempt at a Solution

Using the second equation, I put the first equation in terms of Q1 to get F=k Q1(7.47X10^-6 - Q1)/r^2, but I cannot solve for Q1

 

[kuruman]

Using the second equation, I put the first equation in terms of Q1 to get F=k Q1(7.47X10^-6 - Q1)/r^2, but I cannot solve for Q1

Why not? It's a quadratic equation.