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Determinati numarul natural x stiind ca x·(x+1)+(x+1)·(x+2)=98

Răspuns :

x·(x+1)+(x+1)·(x+2)=98
(x+1)(x+x+2)=98
(x+1)(2x+2)=98
(x+1)(x+1)=49
x+1=7
x=6