Question

Exercițiul 2
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Answer 1

2. x² +a·x +2 >= 0 <=> Δ <= 0 <=> b² -4·a·c <= 0 <=> a² -4·1·2 <= 0 <=> a² <= 8 => a ∈(-2√2, 2√2);

3. arcsin:[-1,1] ⇒ [-π/2,π/2]

arcsin(1/2) +arcsin(x) = π/3 => arcsin(x) = π/3 -π/6 = π/6 => sin(π/6) = x <=> x = 1/2 ∈[-1,1]. Asadar S ={1/2}.