Найдите произведение корней уравнения lg (x^2-x) = 1-lg5

lg (x-3) + lg (x-2) = 1-lg5

lg (x-3) + lg (x-2) = lg10-lg5

lg (x-3) + lg (x-2) = lg2

lg (x-3) (x-2) = lg2

(x-3) (x-2) = 2

x² - 5x + 6 - 2 = 0

x² - 5x + 4 = 0

(x-4) (x-1) = 0

x = 4

x = 1

x>3

x>2

x = 4