(n-1)!/(n-3)!=20, tentukan nilai n!
Matematika
Syafna22
Pertanyaan
(n-1)!/(n-3)!=20, tentukan nilai n!
1 Jawaban
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1. Jawaban dnnyz07
Faktorial
( (n - 1)! ) / ( (n - 3)! ) = 20
( (n - 1)(n - 2)(n - 3)! ) / (n - 3)! = 20
(n - 1)(n - 2) = 20
n² - 3n + 2 = 20
n² - 3n - 18 = 0
(n - 6)(n + 3) = 0
n = 6 v n = -3
ambil positif
n = 6