X-5 + (0.25x-1 1/4 )^4 =0 . решить - вопрос №5025114407891924 от mariyapetrpet 21.04.2023 23:44

Question

Алгебра: X-5 + (0.25x-1 1/4 )^4 =0 . решить

mariyapetrpet · Answer

X - 5 + (0,25x - 1 1/4)⁴ = 0x - 5 + (1/4 *(x - 5))⁴ = 0x - 5 + 1/256 *(x - 5)⁴ = 0(x - 5)(1 + 1/256 *(x - 5)³) = 0x - 5 = 0          1 + 1/256 *(x - 5)³ = 0x = 5                1/256 *(x - 5)³ = -1                          (x - 5)³ = -256                           x - 5 = -4∛4                           x = 5 - 4∛4 5 - 4∛4 - 5 + (0,25*(5 - 4∛4) - 1,25)⁴ = 0-4∛4 + (1,25 - ∛4 - 1,25)⁴ = 0 -4∛4 + 4∛4 = 00 = 0ответ: {5; 5 - 4∛4}...