Răspuns:
Explicație pas cu pas:
(m²-1)x=5·(m-1).
daca m=1, ecuatia se transforma in ecuatia 0·x=0, deci are o infinitate de solutii.
daca m=-1, atunci ecuatie se transforma in ecuatia 0·x=-10, deci ecuatia nu are soutii.
Daca m∈R\{±1) , ecuatia are o singura solutie,
[tex]x=\frac{5*(m-1)}{m^{2}-1}=\frac{5*(m-1)}{(m-1)(m+1)},~deci~x=\frac{5}{m+1}[/tex]
