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Malia21
@Malia21
July 2022
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Срочно! log0,3 (2x^2 + 3x - 11) = log0,3 (1-2x)
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IrkaShevko
Verified answer
ОДЗ: 1 - 2x > 0; x < 0,5
2x² + 3x - 11 > 0
D = 9 + 88 = 97
x₁ = (-3 - √97)/4 ≈ -3,21
x₂ = (-3 + √97)/4 = 1,71
итого: x < -3,21
2x² + 3x - 11 = 1 - 2x
2x² + 5x - 12 = 0
D = 25 + 96 = 121
x₁ = (-3 - 11)/4 = -3,5
x₂ = (-3 + 11)/4 = 2 - не удовлетворяет ОДЗ
Ответ: x = -3,5
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Answers & Comments
Verified answer
ОДЗ: 1 - 2x > 0; x < 0,52x² + 3x - 11 > 0
D = 9 + 88 = 97
x₁ = (-3 - √97)/4 ≈ -3,21
x₂ = (-3 + √97)/4 = 1,71
итого: x < -3,21
2x² + 3x - 11 = 1 - 2x
2x² + 5x - 12 = 0
D = 25 + 96 = 121
x₁ = (-3 - 11)/4 = -3,5
x₂ = (-3 + 11)/4 = 2 - не удовлетворяет ОДЗ
Ответ: x = -3,5