Question

Решите уравнение (n+4)!=7*(n+3)!

Answer 1

Ответ:

$(n+4)!=7\cdot (n+3)!\\\\(n+3)!(n+4)=7\cdot (n+3)!\ \ \Big|:(n+3)!>0\\\\n+4=7\\\\n=3\\\\Proverka:\ \ n=3\ \ \to \ \ 7!=7\cdot 6!\ \ ,\ \ \ 7!=7!\ \ verno\\\\Otvet:\ n=3\ .$