Question

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

Answer 1

`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`