Question

решите систему уравнений:
{(х+у)^2=2у
{(х+у)^2=2х​

Answer 1

{(х+у)^2=2у

{(х+у)^2=2х​

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x, y ≥ 0

2x = 2y

x = y

(x + x)² = 2x

4x² = 2x

x(2x - 1) = 0

x = 0   y = 0

x = 1/2  y = 1/2

ответ  (0,0) (1/2,1/2)