Решите систему уравнений x+y=6   x^2+2y=60

[latex] \left \{ {{x+y=6} \atop {x^2+2y=60}} \right. [/latex] [latex] \left \{ {{-2x+-2y=-12} \atop {x^2+2y=60}} \right. [/latex] [latex]-2x+x^2=48[/latex] [latex]x^2-2x-48=0[/latex] [latex]x_1=8,x_2=-6[/latex] [latex]y_1 = 6-x = 6 - 8 = -2[/latex] [latex]y_2 = 6-(-6) = 12[/latex]