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Вероника564
@Вероника564
August 2022
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Помогите срочно.Решите неравенство x^2-12x>2x-12-x^2
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Dимасuk
Verified answer
X² - 12x > 2x - 12 - x²
2x² - 14x + 12 > 0
x² - 7x + 6 > 0
x² - 7x + 6 = 0
x₁ + x₂ = 7
x₁x₂ = 6
x₁ = 1
x₂ = 6
(x - 1)(x - 6) > 0
x ∈ (-∞; 1) U (6; +∞).
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Answers & Comments
Verified answer
X² - 12x > 2x - 12 - x²2x² - 14x + 12 > 0
x² - 7x + 6 > 0
x² - 7x + 6 = 0
x₁ + x₂ = 7
x₁x₂ = 6
x₁ = 1
x₂ = 6
(x - 1)(x - 6) > 0
x ∈ (-∞; 1) U (6; +∞).