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Mazhor1
@Mazhor1
July 2022
1
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СРОЧНО!!! 20 БАЛЛОВ! Решить:
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sedinalana
Verified answer
8*(0,5)^2x-17*(0,5)^x+2≤0
(0,5)^x=t
8t²-17t+2≤0
D=289-64=225
t1=(17-15)/16=1/8
t2=(17+15)/16=2
1/8≤t≤2
1/8≤(0,5)^x≤2
-1≤x≤3
x∈[-1;3]
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Answers & Comments
Verified answer
8*(0,5)^2x-17*(0,5)^x+2≤0(0,5)^x=t
8t²-17t+2≤0
D=289-64=225
t1=(17-15)/16=1/8
t2=(17+15)/16=2
1/8≤t≤2
1/8≤(0,5)^x≤2
-1≤x≤3
x∈[-1;3]