Вправа 975 алгебра Бевз гдз 7 клас
№ 975 $$\begin{aligned}
& \text { a) } x^2+y^2+1=2 x \\
& \left(x^2-2 x+1\right)+y^2=0 \\
& (x-1)^2+y^2=0 \\
& x=1 ; y=0 \\
& (1 ; 0) ;
\end{aligned}
$$ $$
\begin{aligned}
& \text { б) } x^2+y^2+9=6 x \\
& \left(x^2-6 x+9\right)+y^2=0 \\
& (x-3)^2+y^2=0 \\
& x=3 ; y=0 \\
& (3 ; 0) ;
\end{aligned}
$$ $$
\begin{aligned}
& \text { в) } x^2+4 y^2+1=4 y \\
& x^2+\left(4 y^2-4 y+1\right)=0 \\
& x^2+(2 y-1)^2=0 \\
& x=0 \\
& 2 y-1=0 \\
& y=\frac{1}{2} \\
& (0 ; 0,5)
\end{aligned}
$$ $$
\begin{aligned}
& \text { г) } 4 x^2+y^2+2=2(2 x-y) \\
& \left(x^2+2 x+1\right)+\left(y^2-4 y+4\right)=0 \\
& (x+1)^2+(y-2)^2=0 \\
& x=-1 ; y=2 \\
& (-1 ; 2)
\end{aligned}
$$
вправи поруч
