\[\boxed{\text{566\ (566).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[\textbf{а)}\ x^{2} = 2 - x\]
\[y = x^{2}\]
\[x\] | \[- 2\] | \[- 1\] | \[0\] | \[1\] | \[2\] |
---|---|---|---|---|---|
\[y\] | \[4\] | \[1\] | \[0\] | \[1\] | \[4\] |
\[y = 2 - x\]
\[x\] | \[0\] | \[2\] |
---|---|---|
\[y\] | \[2\] | \[0\] |
\[Корень:\ \ \ - 2;1.\]
\[\textbf{б)}\ x^{2} = 8\]
\[y = x^{2}\]
\[x\] | \[- 2\] | \[- 1\] | \[0\] | \[1\] | \[2\] |
---|---|---|---|---|---|
\[y\] | \[4\] | \[1\] | \[0\] | \[1\] | \[4\] |
\[y = 8\]
\[Корень:\ \ \pm 2;8.\]
\[\textbf{в)}\ x^{3} = 6\]
\[y = x^{3}\]
\[x\] | \[- 2\] | \[- 1\] | \[0\] | \[1\] | \[2\] |
---|---|---|---|---|---|
\[y\] | \[- 8\] | \[- 1\] | \[0\] | \[1\] | \[8\] |
\[y = 6\ \]
\[Корень:\ \ 1,8.\]
\[\textbf{г)}\ x^{3} = - x + 4\]
\[y = x^{3}\]
\[x\] | \[- 2\] | \[- 1\] | \[0\] | \[1\] | \[2\] |
---|---|---|---|---|---|
\[y\] | \[- 8\] | \[- 1\] | \[0\] | \[1\] | \[8\] |
\[y = - x + 4\]
\[x\] | \[0\] | \[4\] |
---|---|---|
\[y\] | \[4\] | \[0\] |
\[Корень:\ 1,4.\]