Question

решите неравенство 5(x-2)(x-3)<0

Answer 1

5(х^2-3х-2х+6)<0

5x^2 - 15x - 10x + 30 < 0

5x^2 - 25x +30 < 0

D = 625 - 4 * 5 * 30 = 25

x1 = (25 + 5) : 10 = 3

x2 = (25 - 5 ) : 10 = 2

ответ : (2;3)