2.1 (3 - √2)(5 + √2) - (√2 - 1)² = 15 - 5√2 + 3√2 - 2 - (2 - 2√2 + 1) = 10
2.2 { x - y = 4
{ 2x² - xy = 21
{ y = x - 4
{2x² - x(x - 4) = 21
2x² - x² + 4x - 21 = 0
x² + 4x - 21 = 0 D = b²-4ac = 16+84 = 100
x₁ = (-b+√D)/2a = (-4+10)/2 = 3 y₁ = x₁ - 4 = -1
x₂ = (-b -√D)/2a = -7 y₂ = x₂ - 4 = -11
Ответ: {3; -1}, {-7; -11}
2.4