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Ganzegal
@Ganzegal
June 2022
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((6 корней из 6)^x-36)/(x-5)<0
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uekmyfhfp
((6sgrt6)^x - 36) / (x - 5) <0;
((6^1*6^1/2)^x - 6^2)/ (x-5) < 0;
(6^(3x/2) - 6^2) / (x - 5) < 0;
6 >1 ;
⇔ (3x/2 - 2) / (x - 5) < 0;
(3x - 4) / (x-5) <0;
3x - 4 = 0;⇒ x= 4/3;
x-5 = 0; ⇒ x = 5;
+ - +
_________(4/3)_____(5)__________x
x∈(4/3; 5)
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Answers & Comments
((6^1*6^1/2)^x - 6^2)/ (x-5) < 0;
(6^(3x/2) - 6^2) / (x - 5) < 0;
6 >1 ;
⇔ (3x/2 - 2) / (x - 5) < 0;
(3x - 4) / (x-5) <0;
3x - 4 = 0;⇒ x= 4/3;
x-5 = 0; ⇒ x = 5;
+ - +
_________(4/3)_____(5)__________x
x∈(4/3; 5)