Question

Sa se rezolve in multimea numerelor reale ecuatia: (x+1)/(x+2) + (x+2)/(x+3) = 7/6

Answer 1

(x+1 )/(x+2) + (x+2)/(x+3) = 7/6 | .
 ( x + 2 ) ( x + 3 ) ⇒ ( x + 3 ) ( x + 1 ) = ( x + 2 ) ( x + 2 ) ⇒ x2 + 4x + 3 = x2 + 4x + 4
⇒ 3 = 4 ( fals )
 Deci, ecuatia data nu admite solutii. 
Obs. x2 inseamna x la puterea a doua.