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AlexandraQween
@AlexandraQween
July 2022
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Решите неравенство [tex] x^{2} (- x^{2} -64) \leq 64(- x^{2} -64)[/tex]
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nKrynka
Решение
x²(-x² - 64) ≤ 64(- x² - 64)
(-x² - 64)*(x² - 64)
≤ 0
(x² + 64)*(x
² - 64)
≥ 0
x² - 64 ≥ 0
x = 8
x∈ (- ∞; 8]∪[8; + ∞)
2 votes
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Answers & Comments
x²(-x² - 64) ≤ 64(- x² - 64)
(-x² - 64)*(x² - 64) ≤ 0
(x² + 64)*(x² - 64) ≥ 0
x² - 64 ≥ 0
x = 8
x∈ (- ∞; 8]∪[8; + ∞)