Question

Sa se determine valorile reale ale nr m pentru care ecuatia m²x+3m-x=m²+2 are solutia x=5 .

Answer 1

m²x+3m-x=m²+2
m²x-x=m²-3m+2
x(m²-1)=m²-3m+2
x=(m²-3m+2)/(m²-1)
(m²-3m+2)/(m²-1)=5
(m-1)(m-2)/(m-1)(m+1)=5
(m-2)/(m+1)=5
m-2=5m+5
4m=-7
m=-7/4