Răspuns :

Notez [tex]\frac{x+1}{x-1}[/tex] cu t

=>t+1/t=25/12

t+1/t-25/12=0

12[tex]t^{2}[/tex]+12-25t/12t=0

12[tex]t^{2}[/tex]+12-25t=0

12[tex]t^{2}[/tex]-9t-16t=12=0

3t(4t-3)-4(4t-3)=0

(4t-3)(3t-4)=0

4t-3=0 => t=3/4

3t-4=0 =>t=4/3

x+1/x-1=3/4 =>

4x+4=3x-3

4x-3x=-3-4

x=-7

x-1/x+1=4/3

x=7

Buna,
Răspunsul îl ai mai jos.
Vezi imaginea Mariacmp