\[\boxed{\mathbf{747\ (747).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[\left\{ \begin{matrix} y = x^{2}\text{\ \ \ \ \ } \\ y = x + 2 \\ \end{matrix} \right.\ \]
\[x^{2} = x + 2\]
\[x^{2} - x - 2 = 0\]
\[D = 1 + 8 = 9\]
\[x = \frac{1 \pm 3}{2}\]
\[x = 2,\ \ y = 4\]
\[x = - 1,\ \ y = 1\]
\[\text{C\ }(2;4);\ \ \ \ \text{B\ }( - 1;1)\]
\[y = x^{2}\]
\[x\] | \[0\] | \[1\] | \[2\] | \[- 1\] | \[- 2\] |
---|---|---|---|---|---|
\[y\] | \[0\] | \[1\] | \[4\] | \[1\] | \[4\] |
\[y = x + 2\]
\[x\] | \[0\] | \[1\] | \[- 1\] |
---|---|---|---|
\[y\] | \[2\] | \[3\] | \[1\] |