Question

Determinati perechlie x,y de numere naturale pentru care urmatoarele fractii sunt echiunitare: a)10/(x-1)x(y+1) b)6/(x+1)x(y+2)

Answer 1

10/(x-1)x(y+1)=1

(x-1)x(y+1)=10=1*2*5, x-1=1, x=2, y+1=5, adica x=2 si y=4

6/(x+1)x(y+2)=1

(x+1)x(y+2)=6=3*2*1, x+1=3, x=2, y+2=1, adica x=2, y=-1, nu e solutie (y nu e natural)

(x+1)x(y+2)=6=2*1*3, x+1=2, x=1, y+2=3, adica x=1, y=1

Answer 2

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