Question

{ (x-1)в квадарате+(у-1)в квадрате=4 ;y=x

Answer 1

(x-1)²+(y-1)²=4; (1)

y=x; (2)

 

(x-1)²+(x-1)²=4;

x²-2x+1+x²-2x+1=4;

2x²-4x-2=0;

x²-2x-1=0;

D=4+4=8; √D=2√2;

x₁=1-√2;

x₂=1+√2;

 

y₁=1-√2;

y₂=1+√2.

 

Ответ: (1-√2; 1-√2), (1+√2; 1+√2).