Система уравнений
{Х^2-6ХУ+9У^2=16
Х-У=6

Х = y + 6 X^2 = y^2 + 12y + 36 y^2 + 12y + 36 - 6y( y + 6 ) + 9y^2 = 16 y^2 + 12y + 36 - 6y^2 - 36y + 9y^2 = 16 4y^2 - 24y + 20 = 0 4( y^2 - 6y + 5 ) = 0 D = 36 - 20 = 16 = 4^2 y1 = ( 6 + 4 ) : 2 = 5 y2 = ( 6 - 4 ) : 2 = 1 X = y + 6 X1 = 5 + 6 = 11 X2 = 1 + 6 = 7 Ответ ( 11 ; 5 ) ; ( 7 ; 1 )