# How do you solve an equation with the variable in the denominator

1. Mar 8, 2010

### Sammicalvin

1. The problem statement, all variables and given/known data
0 = $$\sum n_i / (b-a_i)$$
the summation is goes from i = 1 to k

the question is to rationalize each term so that the denominator is positive, and then solve for b.

2. Relevant equations

3. The attempt at a solution
i tried to expand the summation and get the factor of b and stuff
but it didn't work at all
does anyone know how to solve this summation in terms of b? thanks

2. Mar 9, 2010

### Staff: Mentor

Show us what you tried, and particularly how you expanded the summation. It is after all a finite sum