Сергей Янков
Оракул
(53976)
1 месяц назад
x!/(x-5)! = 30(x-2)!/(x-2-3)!
x!/(x-5)! = 30(x-2)!/(x-5)!
x! = 30(x-2)!
x!/(x-2)! = 30
x(x-1) = 30
x^2 - x - 30 = 0
x1 + x2 = 1
x1*x2 = -30
x1 = 6
x2 = -5
x = 6
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(x+1)!/5!(x+1-5)! = 3x!/(x-3)! / 8
(x+1)!/5!(x-4)! = 3x!/(x-3)! / 8
8(x+1)!/5!(x-4)! = 3x!/(x-3)!
8(x+1)/!5! = 3x!/x-3
8(x+1)/5! = 3/x-3
ОДЗ: х#3
8(x+1)/120 = 3/x-3
x+1/15 = 3/x-3
x^2-3x+x-3 = 45
x^2 - 2x - 48 = 0
x1 + x2 = 2
x1*x2 = -48
x1 = 8
x2 = -6
x = 8