Question

(n+4)!/(n+2)=30 fatorial

Answer 1

(n+4)!/(n+2)=30

(n+4).(n+3).(n+2)!/(n+2)=30

(n+4).(n+3)=30

n²+7n+12 = 30

n² +7n -18= 0

∆= 49 +72 = 121 => √∆=11

n'= -7+11/2 = 2 ✓

n"= -7-11/2 = -9 (não presta)