Question

find n if
(n+2)! =60 (n- 1)!​

Answer 1

(n+2)(n+1)(n)(n-1)!=60(n-1)!

(n+2)(n+1)(n)=60

resolves to (n−3)(n2+6n+20)=0

Since it can be shown that (n2+6n+20)=0 has no real solution, n=3

Solution: n=3