x₁ = 2 , x₂ = 3
Пошаговое объяснение:
(2x - 6)(4 - 2x) = 0
2x · 4 - 2x · 2x - 6 · 4 + 6 · 2x = 0
8x - 4x² - 24 + 12x = 0
20x - 4x² - 24 = 0 | : 4
5x - x² - 6 = 0
- x² + 5x - 6 = 0 | · (-1)
x² - 5x + 6 = 0
D = (-5)² - 4 · 1 · 6 = 25 - 24 = 1
x₁,₂ = (-(-5) ± √1) / (2 · 1) = (5 ± 1) / 2
x₁ = (5 - 1) / 2 = 4 / 2 = 2
x₂ = (5 + 1) / 2 = 6 / 2 = 3
