1) 100x² - 16 = 0
100x² = 16
x² = 16/100
x² = 0.16
x = ±√0.16
x = ±0.4

Ответ: x₁ = 0.4, x₂ = -0.4

2) 4x² - 7x - 2 = 0
4x² - 8x + x - 2 = 0
4x(x-2) + 1(x-2) = 0
(4x+1)(x-2) = 0
4x+1 = 0 => x = -1/4
x-2 = 0 => x = 2

Ответ: x₁ = -1/4, x₂ = 2

3) 3x² + 8x - 3 = 0
3x² + 9x - x - 3 = 0
3x(x+3) - 1(x+3) = 0
(3x-1)(x+3) = 0
3x-1 = 0 => x = 1/3
x+3 = 0 => x = -3

Ответ: x₁ = 1/3, x₂ = -3

4) (2x-3)² = 11x-19
4x² - 12x + 9 = 11x - 19
4x² - 23x + 28 = 0
4x² - 16x - 7x + 28 = 0
4x(x-4) - 7(x-4) = 0
(4x-7)(x-4) = 0
4x-7 = 0 => x = 7/4
x-4 = 0 => x = 4

Ответ: x₁ = 7/4, x₂ = 4