Demonstrati ca x care verifica relatia abcabc nr nat/7x = 11×abc nr nat/169 este cub perfect
![Demonstrati Ca X Care Verifica Relatia Abcabc Nr Nat7x 11abc Nr Nat169 Este Cub Perfect class=](https://ro-static.z-dn.net/files/d2d/41b2711ac5797d4a4be0a1dea5c4da71.jpg)
Răspuns:
Explicație pas cu pas:
abcabc=1000abc+abc=1001abc=7·143·abc
Deci 7x·11·abc=169·7·143·abc, ⇒x=(169·7·143·abc)/(7·11·abc)=169·13=13³ cub perfect