Решите системы уравнений1) - - (3x+7y) ²=10y (3x+7y) ²=10x 2) - - (4x+1) ²=5y (x+4) ²=5y

1). { (3 x + 7 y) ² = 10 y;

{ (3 x + 7 y) ² = 10 x;

10 x = 10 y; x = y;

(3 x + 7 x) ² = 10 x; 100 x² = 10 x;

10 x (10 x - 1) = 0;

x = 0;

10 x - 1 = 0; 10 x = 1;

x = 0,1;

{x = 0; y = 0; {x = 1; y = 1;

2). { (4 x + 1) ² = 5 y;

{ (x + 4) ² = 5 y;

(4 x + 1) ² = (x + 4) ²;

16 x² + 8 x + 1 = x² + 8 x + 16;

15 x² = 15; x² = 1;

x = 1; x' = - 1;

5 y = (x + 4) ²; 5 y = (1 + 4) ²; 5 y = 25; y = 5;

5 y = ( - 1 + 4) ²; 5 y = 9; y = 1,8;

{x = 1; y = 5; {x = - 1; y = 1,8.