0, y <> 0\\\\ x^2+5y^2 = -6xy\\\\ x^2 + 6xy + 5y^2 = 0\\\\ x^2 + xy + 5xy + 5y^2 = 0\\\\ x(x+y) + 5y(x + y) = 0\\\\ (x + y)(x + 5y) = 0\\\\ x + y = 0, x + 5y = 0\\\\ " alt=" x/y+5y/x=-6\\\\ 2x+7=6\\\\ x/y+5y/x=-6 | xy, x <> 0, y <> 0\\\\ x^2+5y^2 = -6xy\\\\ x^2 + 6xy + 5y^2 = 0\\\\ x^2 + xy + 5xy + 5y^2 = 0\\\\ x(x+y) + 5y(x + y) = 0\\\\ (x + y)(x + 5y) = 0\\\\ x + y = 0, x + 5y = 0\\\\ " align="absmiddle" class="latex-formula">