Постройте график уравнения: (x^2+y^2-8x)(x+y)=0.

Question

Вопрос:

Ответ:

Accepted Answer

\[\left( x^{2} + y^{2} - 8x \right)(x + y) = 0\]

\[x² + y^{2} - 8x = 0\]

\[x^{2} - 8x + y^{2} = 0\]

\[(x - 4)^{2} - 16 + y^{2} = 0\]

\[(x - 4)^{2} + y^{2} = 16\]

\[Точка\ O(4;0\ );\ \ \ R = 4.\]

\[x + y = 0\]

\[y = - x\]

\[x\]	\[0\]	\[1\]	\[2\]
\[y\]	\[0\]	\[- 1\]	\[- 2\]