1. Решите уравнение: 1) 4x² - 20 = 0; 2) 3x² + 5x = 0; 3) x² - 5x-24 = 0;

Решим уравнения:

1. 4x² - 20 = 0
   4x² = 20
   x² = 5
   x₁ = √5, x₂ = -√5
2. 3x² + 5x = 0
   x(3x + 5) = 0
   x₁ = 0, 3x + 5 = 0
   3x = -5
   x₂ = -5/3
3. x² - 5x - 24 = 0
   D = (-5)² - 4 × 1 × (-24) = 25 + 96 = 121
   x₁ = (5 + √121) / 2 = (5 + 11) / 2 = 16 / 2 = 8
   x₂ = (5 - √121) / 2 = (5 - 11) / 2 = -6 / 2 = -3

Ответ: 1) x₁ = √5, x₂ = -√5; 2) x₁ = 0, x₂ = -5/3; 3) x₁ = 8, x₂ = -3