Question

помогите умоляю, срочно

Answer 1

$\left\{\begin{array}{c}xy+yz=8\\yz+zx=9\\zx+xy=5\end{array}\right \; \oplus \\----------\\2(xy+yz+zx)=8+9+5\\\\xy+yz+zx=11\\\\xy=11-(yz+zx)=11-9=2\; ,\; \; y= \frac{2}{x} \\\\yz=11-(zx+xy)=11-5=6\; ,\; \; \frac{2}{x}\cdot z=6\; ,\; z=\frac{6x}{2}=3x\\\\zx=11-(xy+yz)=11-8=3\; ,\; \; z=\frac{3}{x}\\\\3x=\frac{3}{x}\; ,\; \; 3(x-\frac{1}{x})=0\; ,\; \; \frac{x^2-1}{x}=0\; ,\; \; \frac{(x-1)(x+1)}{x}=0\; ,\\\\x_1=-1\; ,\; \; x_2=1\; ,\; (x\ne 0)\\\\ z_1=3x_1=-3\; ,\; \; z_2=3\; ,\\\\y_1=\frac{2}{x_1}=\frac{2}{-1}=-2\; ,\; \; y_2=\frac{2}{1}=2\\\\Otvet:\; \; (-1,-2,-3)\; ,\; \; (1,2,3)\; .$