x₁ = 2.25; x₂ = 3; x₃ = 2
Пошаговое объяснение:
(4x - 9)²(x -3) = (4x - 9)(x - 3)²
(4x - 9)²(x -3) - (4x - 9)(x - 3)² = 0
(4x - 9)(x - 3)(4x - 9 - x + 3) = 0
(4x - 9)(x - 3)(3x - 6) = 0
3(4x - 9)(x - 3)(x - 2) = 0
1) 4x - 9 = 0 x₁ = 2.25
2) x - 3 = 0 x₂ = 3
3) x - 2 = 0 x₃ = 2
x₁ = 2.25; x₂ = 3; x₃ = 2
Пошаговое объяснение:
(4x - 9)²(x -3) = (4x - 9)(x - 3)²
(4x - 9)²(x -3) - (4x - 9)(x - 3)² = 0
(4x - 9)(x - 3)(4x - 9 - x + 3) = 0
(4x - 9)(x - 3)(3x - 6) = 0
3(4x - 9)(x - 3)(x - 2) = 0
1) 4x - 9 = 0 x₁ = 2.25
2) x - 3 = 0 x₂ = 3
3) x - 2 = 0 x₃ = 2