Question

сколько решений имеет система уравнений ​

Answer 1

$\left \{ {{x^{2}+(y-1)^{2}=1 } \atop {(x+1)(y-2)=0}} \right.\\\\\\\left \{ {{x^{2}+(y-1)^{2}=1} \atop {\left[\begin{array}{ccc}x+1=0\\y-2=0\end{array}\right}} \right.\\\\\\\left \{ {{x^{2}+(y-1)^{2}=1} \atop {\left[\begin{array}{ccc}x=-1\\y=2\end{array}\right}} \right. \\\\\\1)\left \{ {{x=-1} \atop {(-1)^{2} +(y-1)^{2}=1 }} \right.\\\\\\\left \{ {{x=-1} \atop {(y-1)^{2}=0 }} \right. \\\\\\\left \{ {{x=-1} \atop {y=1}} \right.$

$2)\left \{ {{y=2} \atop {x^{2}+(2-1)^{2}=1}} \right. \\\\\\\left \{ {{y=2} \atop {x^{2}=0 }} \right.\\\\\\\left \{ {{y=2} \atop {x=0}} \right.\\\\Otvet:\boxed{(-1;1),(0;2)}$

Два решения