1) x₁ = 0, x₂ = 2
2) x₁ = -√3, x₂ = √3, x₃ = 7
3) y₁ = -1, y₂ = 3
Объяснение:
1) x³ - 4x² + 4x = 0
x(x² - 4x + 4) = 0
x(x - 2)² = 0
x = 0
(x - 2)² = 0
x₁ = 0, x₂ = 2
2) (x² - 3)(x - 7) = 0
x² - 3 = 0
x - 7 = 0
x₁ = -√3, x₂ = √3, x₃ = 7
3) (y - 3)² - 4(3 - y) = 0
(y - 3)² - 4( - (y - 3)) = 0
(y - 3)² + 4(y - 3) = 0
(y - 3)(y - 3 + 4) = 0
(y - 3)(y + 1) = 0
y - 3 = 0
y + 1 = 0
y₁ = -1, y₂ = 3
1) x₁ = 0, x₂ = 2
2) x₁ = -√3, x₂ = √3, x₃ = 7
3) y₁ = -1, y₂ = 3
Объяснение:
1) x³ - 4x² + 4x = 0
x(x² - 4x + 4) = 0
x(x - 2)² = 0
x = 0
(x - 2)² = 0
x₁ = 0, x₂ = 2
2) (x² - 3)(x - 7) = 0
x² - 3 = 0
x - 7 = 0
x₁ = -√3, x₂ = √3, x₃ = 7
3) (y - 3)² - 4(3 - y) = 0
(y - 3)² - 4( - (y - 3)) = 0
(y - 3)² + 4(y - 3) = 0
(y - 3)(y - 3 + 4) = 0
(y - 3)(y + 1) = 0
y - 3 = 0
y + 1 = 0
y₁ = -1, y₂ = 3