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kotenokmacho
@kotenokmacho
July 2022
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log по основанию 5 (х²-11х+43) меньше или равно 2
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ludmilagena
Verified answer
Log5 (x²-11x+43)≤2 ОДЗ (x²-11x+43)>0: x∈(-∞;+∞)
x²-11x+43≤5²
x²-11x+18≤0 - парабола,, ветви вверх
D=121-72=49
x1=(11+7)/2=9 x2=(11-7)/2=2
ответ x∈[2; 9]
1 votes
Thanks 2
kotenokmacho
спасибо большое
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Answers & Comments
Verified answer
Log5 (x²-11x+43)≤2 ОДЗ (x²-11x+43)>0: x∈(-∞;+∞)x²-11x+43≤5²
x²-11x+18≤0 - парабола,, ветви вверх
D=121-72=49
x1=(11+7)/2=9 x2=(11-7)/2=2
ответ x∈[2; 9]