Объяснение:
(2x - 1)² + 5x = (x + 3)²
4х² - 4х + 1 + 5х = х² + 6х + 9
4х² - 4х + 5х - х² - 6х = 9 - 1
3х² - 5х = 8
3х² - 5х - 8 = 0
Д = 5² - 4 . (-8) . 3
Д = 25 + 96 Д = 121
х₁,₂ = 5 ± 11 : (2 . 3)
х₁ = (5 + 11) : 6
х₁ = 16 : 6 х₁ =
х₂ = (5 - 11) : 6
х₂ = - 6 : 6 х₂ = -1
Объяснение:
(2x - 1)² + 5x = (x + 3)²
4х² - 4х + 1 + 5х = х² + 6х + 9
4х² - 4х + 5х - х² - 6х = 9 - 1
3х² - 5х = 8
3х² - 5х - 8 = 0
Д = 5² - 4 . (-8) . 3
Д = 25 + 96 Д = 121
х₁,₂ = 5 ± 11 : (2 . 3)
х₁ = (5 + 11) : 6
х₁ = 16 : 6 х₁ =
х₂ = (5 - 11) : 6
х₂ = - 6 : 6 х₂ = -1