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mkmkmk1
@mkmkmk1
August 2022
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найдите наибольшее целое число удовлетворяющее неравенству х(х^2-36)/х+9<0
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Verified answer
Х(х²-36) / х+9 < 0
ОДЗ: х+9≠0, х≠ -9
х(х²-36) < 0
х(х-6)(х+6) = 0
х₁ = 0
х-6=0
х₂ = 6
х+6=0
х₃ = -6
+ - + - +
----₀--------₀-------₀--------₀--------> x
-9 -6 0 6
х∈(-9; -6)∪(0; 6)
Наибольшее целое х=5
4 votes
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Answers & Comments
Verified answer
Х(х²-36) / х+9 < 0ОДЗ: х+9≠0, х≠ -9
х(х²-36) < 0
х(х-6)(х+6) = 0
х₁ = 0
х-6=0
х₂ = 6
х+6=0
х₃ = -6
+ - + - +
----₀--------₀-------₀--------₀--------> x
-9 -6 0 6
х∈(-9; -6)∪(0; 6)
Наибольшее целое х=5