Question

Решите неравенство 2^2x+1 - 5 * 2^x + 2 >= 0

Answer 1

2^x=a
2a²-5a+2≥0
D=25-16=9
a1=(5-3)/4=1/2
a2=(5+3)/4=2
a≤1/2⇒2x≤1/2⇒x≤-1
a≥2⇒26x≥2⇒x≥1
x∈(-∞;-1] u [1;∞)