## Solve rational equations and check for extraneous solutions

Quadratic equations and inequalities, variation equations, function notation, systems of equations, etc.
abowden25
Posts: 1
Joined: Sun Jul 21, 2013 8:19 pm

### Solve rational equations and check for extraneous solutions

m/5+ 5/m= m+3/4

jg.allinsymbols
Posts: 72
Joined: Sat Dec 29, 2012 2:42 am
Contact:

### Re: Solve rational equations and check for extraneous soluti

Lowest or simplest common denominator is 4*5*m.
Multiply the entire left side AND right side by 4*5*m. Simplify and combine like terms, ... to solve for m.

$4*5*m\left(\frac{m}{5}\,+\,\frac{5}{m}\right)\,=\, 4*5*m\left(m+\frac{3}{4}\right)$
$\left(\frac{4*5*m*m}{5}\right)\,+\,\left(\frac{4*5*m*5}{m}\right)\,=\,20m^2+\frac{4*5*3*m}{4}$
...
you may know what else to do.