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Sa se rezolve ecuatia: (n+1)!=60(n-2)!
Mersi.


Răspuns :

(n+1)!=60(n-2)!
60=(n+1)!/(n-2)!
60=(n-2)!(n-1)n(n+1)/(n-2)!
60=n(n+1)(n-1)
60=n^3−n Scadem n^3-n din ambele parti.
60−(n^3−n)=n^3−n(n^3−n)
n^3+n+60=0
(−n+4)(n^2+4n+15)=0
−n+4=0 sau n^2+4n+15=0
n=4
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