solve by
quadratic formula
copleting square
factoring
( m-2/m+2 )+( m-1/m+1)=0

get LCD
or cross multiply
m-2 times m+1 + m-1 times m+2
divide by m+2 times m+1
m^2-1m-2 + m^2+1m-2
divide by m^2+3m+2
m^2 -4
or m+2 times m-2
divide by m+2 times m+1
cancel m+2
the answer is
m-2 over m+1

Answer Link

Анонимid Анонимid · Answer 2

First, simplify the given equation:

[tex]m + m - \frac{2}{m} - \frac{1}{m} + 2 + 1 = 0[/tex]

[tex]2m - \frac{3}{m} + 3 = 0[/tex]

[tex]2m(m)- \frac{3(m)}{m} + 3(m)=0[/tex]

2m²+3m-3 = 0

This equation can not be solved using completing the square and factoring because there are no rational factors.

Using Quadratic Formula the answer is:

[tex]x = - \frac{3}{4} + \frac{1}{4} \sqrt{33} [/tex]

and

[tex]x = - \frac{3}{4} - \frac{1}{4} \sqrt{33} [/tex]

My hand written solution attached.