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

1 Answer
Landon8
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#

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