Решите систему уравнений
xy=6
2x-y=11

xy = 62x - y = 11xy = 6y = 2x - 11x(2x - 11) - 6 = 0y = 2x - 112x² - 11x - 6 = 0D = 121 + 4•2•6 = 169 = 13²x1 = (11 + 13)/4 = 24/4 = 6x2 = (11 - 13)/4 = -1/2у = 2х - 11x = 6y = 1x = 6xy = 6x = -1/2y = -12x = -1/2Ответ: (6; 1), (-1/2; -12).