(x² - 2x)² + 3x²- 6x + 2 = 0
х⁴ - 4х³ + 4х² + 3х² - 4х - 2х + 2 = 0
х⁴ - х³ - 3х³ + 4х² + 3х² - 4х - 2х + 2 = 0
х⁴ - х³ - 3х³ + 3х² + 4х² - 4х - 2х + 2 = 0
х³ × (х-1) - 3х² × (х-1) + 4х×(х-1) -2х + 2 = 0
х³ × (х-1) - 3х² × (х-+) + 4х×(х-1)- 2(х-1)=0
(х-1) × (х³ - 3х² + 4х - 2)= 0
(х-1) × (х³ - х² - 2х² + 4х - 2) = 0
(х-1)² × (х² - 2х +2)= 0
(х-1)² = 0
(х-1)² = 0х² - 2х + 2 = 0
х= 1.
(x² - 2x)² + 3x²- 6x + 2 = 0
х⁴ - 4х³ + 4х² + 3х² - 4х - 2х + 2 = 0
х⁴ - х³ - 3х³ + 4х² + 3х² - 4х - 2х + 2 = 0
х⁴ - х³ - 3х³ + 3х² + 4х² - 4х - 2х + 2 = 0
х³ × (х-1) - 3х² × (х-1) + 4х×(х-1) -2х + 2 = 0
х³ × (х-1) - 3х² × (х-+) + 4х×(х-1)- 2(х-1)=0
(х-1) × (х³ - 3х² + 4х - 2)= 0
(х-1) × (х³ - х² - 2х² + 4х - 2) = 0
(х-1)² × (х² - 2х +2)= 0
(х-1)² = 0
(х-1)² = 0х² - 2х + 2 = 0
х= 1.