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nastya11222
@nastya11222
July 2022
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Укажите промежуток, которому принадлежат корни уравнения
2^(2x+3)-25*2^(x)+3=0
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Verified answer
Здесь (х) может быть любым числом...
8*2²ˣ - 25*2ˣ + 3 = 0
замена: t = 2ˣ > 0
8t² - 25t + 3 = 0
D = 25² - 4*24 = 23²
t₁;₂ = (25 ⁺₋ 23) / 16
2ˣ = ¹/₈ или 2ˣ = 3
x = -3 x = log₂(3)
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Answers & Comments
Verified answer
Здесь (х) может быть любым числом...8*2²ˣ - 25*2ˣ + 3 = 0
замена: t = 2ˣ > 0
8t² - 25t + 3 = 0
D = 25² - 4*24 = 23²
t₁;₂ = (25 ⁺₋ 23) / 16
2ˣ = ¹/₈ или 2ˣ = 3
x = -3 x = log₂(3)