Решение
1. a) - 0,5x² + 4,5 > 0
x² < ( - 4,5) / (- 0,5)
x² < 9
x₁ = - 3
x₂ = 3
x ∈ (- 3; 3)
б) (x - 1)² ≠ 0, x ≠ 1
4 - x² ≥ 0
x⁵ ≤ 4
x ∈ [- 2; 2]
Ответ: [- 2; 1) (1 ; 2]
2. [log₇ (4³)*(0,5)] / (log₇ 7/14) = (log₇ (32)) / (- log₇ 2) =
= [log₇(2⁵)] / (- log₇ 2) = = - 5