Question

m²x + 5=x+5m va rog frumos​

Answer 1

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,

$x=\frac{5*(m-1)}{m^{2}-1}=\frac{5*(m-1)}{(m-1)(m+1)},~deci~x=\frac{5}{m+1}$