Question

Aflati numerele naturale x y z stiind ca x*y=6 y*z=21 x*z=14

Answer 1

x*y=6⇒y=6/x

y*z=21⇒6*z/x=21⇒z=x*21/6

x*z=14⇒x*x*21/6=14⇒x²=4⇒x={2;-2}, -2∉N⇒x=2.

Pentru x=2:
y=6/2=3;
z=2*21/6=7.

Raspuns: 2,3,7.