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karinakarina22082000
@karinakarina22082000
July 2022
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помогите, пожалуйста ♡♡♡♡
2(x^2 + 2)> x (x + 5)
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OPetroW
2 (x² + 2) > x (x + 5)
2x² + 4 > x² + 5x
2x² - x² - 5x + 4 > 0
x² - 5x + 4 > 0
D = 25 - 4 * 4 = 25 - 16 = 9
x₁ = 5 + 3 / 2 = 8 / 2 = 4
x₂ = 5 - 3 / 2 = 2 / 2 = 1
Ответ: (-∞; 1) U (4; +∞)
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Answers & Comments
2x² + 4 > x² + 5x
2x² - x² - 5x + 4 > 0
x² - 5x + 4 > 0
D = 25 - 4 * 4 = 25 - 16 = 9
x₁ = 5 + 3 / 2 = 8 / 2 = 4
x₂ = 5 - 3 / 2 = 2 / 2 = 1
Ответ: (-∞; 1) U (4; +∞)