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taekai
@taekai
July 2022
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Решитееееееееееевкке
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tamarabernukho
D=81-4*2*4=49
2^x=(9+7)/4=4=2^2 x=2
2^x=(9-7)/4=1/2=2^(-1) x=-1
ответ x∈(-∞;-1]U[2;+∞)
0 votes
Thanks 2
taekai
Спасибо !
sedinalana
2*2^(3x)-9*2^(2x)+4*2^x≥0
2^x=t
2t³-9t²+4t≥0
t(2t²-9t+4)≥0
D=81-32=49
t1=(9-7)/4=1/2
t2=(9+7)/4=4
t=0
_ + _ +
---------[0]--------------[1/2]-------------[4]------------
0≤t≤1/2 U t≥4
0≤2^x≤1/2 U 2^x≥4
x≤-1 U x≥2
x∞(-∞;-1] U [2;∞)
0 votes
Thanks 1
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Answers & Comments
D=81-4*2*4=49
2^x=(9+7)/4=4=2^2 x=2
2^x=(9-7)/4=1/2=2^(-1) x=-1
ответ x∈(-∞;-1]U[2;+∞)
2^x=t
2t³-9t²+4t≥0
t(2t²-9t+4)≥0
D=81-32=49
t1=(9-7)/4=1/2
t2=(9+7)/4=4
t=0
_ + _ +
---------[0]--------------[1/2]-------------[4]------------
0≤t≤1/2 U t≥4
0≤2^x≤1/2 U 2^x≥4
x≤-1 U x≥2
x∞(-∞;-1] U [2;∞)