How do you solve \frac { 1} { r } - \frac { 6} { 5r + 2} = 1?

1 Answer
Mar 24, 2018

r=-3/10+-1/5i, Or if those Don't work, There are No Solutions!

Explanation:

First, Multiply By the denominators.
witch Are,
r and 5r+2
so, The equation Would be,

5r+2-6r=5r^2+2r

Re-aranging, We Get

-5r^2-3r+2=0

And by the quadratic Formula, The solution Is,

r=(3+-sqrt(3^2-15))/-10=(3+-2i)/-10=-3/10+-1/5i