Question

determinati perechile de numere naturale x,y astfel incat fractia 10 supra x+1)(y+2) sa fie echiunitara.

Answer 1

10/(x+1)(y+2) = 1
10=(x+1)(y+2)
1·10=2·5=(x+1)(y+2)
x+1=1, x=0
y+2=10, y=8

x+1=10, x=9
y+2=1, y∉N

x+1=2, x=1
y+2=5, y=3

x+1=5, x=4
y+2=2, y=0
perechile sunt
S={(0, 8), (1, 3), (4, 0)}