Задача 53842 6*2^(3*x^2-2*x)-3*2^(3*x^2-2*x+2)+2^(3*x^2-2*x-2)>=-184...

5f7a205476b7cf17294b4535

04.10.2020 22:20:45

6*2^(3*x^2-2*x)-3*2^(3*x^2-2*x+2)+2^(3*x^2-2*x-2)>=-184

5f3ea7e3faf909182968ddd9

04.10.2020 22:32:34

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2^(3x^2-2x)*(6-3*2^2+2^(-2)) ≥ -184

2^(3x^2-2x)*(-23/4) ≥ -184

2^(3x^2-2x) ≤ 32

2^(3x^2-2x) ≤ 2^5

3x^2-2x ≤ 5

3x^2-2x-5 ≤ 0

D=4+60=64

-1 ≤ x ≤ 5/3

О т в е т. [-1; 5/3]