10, \\ y_2-x_2=8<10, \\ x_0=-5, y_0=3, \\ x_0\cdot y_0=-15. " alt="\left \{ {{5y-8x=x^2+30,} \atop {x+y+2=0,}} \right. \ \left \{ {{y=-x-2,} \atop {5(-x-2)-8x=x^2+30,}} \right. \\ -5x-10-8x=x^2+30, \\ x^2+13x+40=0, \\ D=9, \\ x_{1,2}=\frac{-13\pm3}{2}=-8;-5; \\ y_{1,2}=6;3; \\ (-8;6), (-5;3); \\ y_1-x_1=14>10, \\ y_2-x_2=8<10, \\ x_0=-5, y_0=3, \\ x_0\cdot y_0=-15. " align="absmiddle" class="latex-formula">