Question

Determine o valor de n, sabendo que (n+5)!/(n-3)!=1/2

Answer 1

(n+5)(n+4)(n+3)!/(n+3)! = 1/2
(n+5)(n+4)2=1
[n²+9n+20]2=1
2n²+18n+39=0
resolvendo
n=-4,5+√3/2
n=-4,5-√3/2