0, y>0\\ \left \{ {{y^2=x,} \atop {x+x^2=272;}} \right. \\ x^2+x-272=0, \\ D=1089, \\ x_1=-17<0, x_2=16, \\ y^2=16, \\ y_1=-4<0, y_2=4, \\(x_0;y_0)=(16;4). \\ x_0-y_0=16-4=12." alt="\left \{ {{\log_yx=2,} \atop {y^2+x^2=272;}} \right. \\ x>0, y>0\\ \left \{ {{y^2=x,} \atop {x+x^2=272;}} \right. \\ x^2+x-272=0, \\ D=1089, \\ x_1=-17<0, x_2=16, \\ y^2=16, \\ y_1=-4<0, y_2=4, \\(x_0;y_0)=(16;4). \\ x_0-y_0=16-4=12." align="absmiddle" class="latex-formula">