х² - х + 3 : х - 2 = 2 - 3 : 2 - х
х² + 3 : х - 2 = 2 - 3 : 2
х² + 3/х - 2 = 2 - 3 : 2
х² + 3/х - 2 = 2 - 1,5
х² + 3/х - 2 = 0,5
х² + 3/х - 2 - 0,5 = 0
х² + 3/х - 2,5 = 0
х² + 3/х - 5/2 = 0
2х³ + 6 - 5х/2х = 0
2х³ + 6 - 5х = 0
2х³ - 5х + 6 = 0
2х³ + 4х² - 4х² - 8х + 3х + 6 = 0
2х² × (х + 2) - 4х × (х + 2) + 3(х + 2) = 0
(х + 2) × (2х² - 4х + 3) = 0
х + 2 = 0
2х² - 4х + 3 = 0
х = -2
х∉ℝ
Ответ: х = -2