Question

{x-y=6
{x^2+y^2=20

решите систему уравнений

Answer 1

{x = y + 6
{x² + y² = 20

{x = y + 6
{y² + 12y + 36 + y² = 20

{x = y + 6
{2y² + 12y + 16 = 0

{x = y + 6
{y² + 6y + 8 = 0

{x = y + 6
{(y+2)(y+4) = 0

y₁ = -2; x₁ = 4

y₂ = -4; x = 2

Ответ: (2; -4); (4; -2)