Question

(n+4)!/n!=360 cine știe să facă va rog

Answer 1

(n+4)!/n!=360

(n+4)! = n!(n+1)(n+2)(n+3)(n+4)

n!(n+1)(n+2)(n+3)(n+4)/n!=360
(n+1)(n+2)(n+3)(n+4)=360
n^4+10n^3+35n^2+50n+24-360=0
(n-2)(n+7)(n^2+5n+24)=0
n=2
n=7