Question

Determinati numarul natural x care verifica egalitatile 2^51+2^52+2^53=x•2^50

Answer 1

2^51+2^52+2^53=x·2^50
scoatem factor comun 2^50

2^50(2+2^2+2^3)=x·2^50
   impartim ecuatia prin 2^50 si ramane   
       
 2+4+8=x  ⇒ x=14