Question

17. Resolva as equações.
(n+1)!
b) (n+10)!= 30
(n+8)!
(n-1)! =12
c) n!=1

mim ajude pfv​

Answer 1

Explicação passo-a-passo:

$a) \: (n + 1) \: ! = (n + 1) \times n(n - 1) \\ b) \: \frac{(n + 10) \: !}{(n + 8) \: !} = 30 \\ \\ \frac{(n + 10)(n + 9)(n +8!}{(n + 8) !} = 30 \\ (n + 10)(n + 9) = 30 \\ n {}^{2} + 9n + 10n + 90 - 30 = 0 \\ n {}^{2} + 19n + 60 = 0$