\[\boxed{\text{494\ (494).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[\textbf{а)}\ x^{2} = x + 6\]
\[Построим:\ \ y = x^{2}\ и\ \ \ y = x + 6.\]
\[y = x^{2}\]
\[x\] | \[2\] | \[1\] | \[0\] | \[- 2\] |
---|---|---|---|---|
\[y\] | \[4\] | \[1\] | \[0\] | \[- 4\] |
\[y = x + 6\]
\[x\] | \[0\] | \[- 6\] |
---|---|---|
\[y\] | \[6\] | \[0\] |
\[Ответ:x = - 2;\ \ x = 3.\]
\[\textbf{б)}\ x^{2} + 2x - 3 = 0\]
\[x^{2} = 3 - 2x\]
\[Построим:\ \ \ y = x^{2}\text{\ \ }и\ \ \ \]
\[y = 3 - 2x.\]
\[y = x^{2}\]
\[x\] | \[2\] | \[1\] | \[0\] | \[- 2\] |
---|---|---|---|---|
\[y\] | \[4\] | \[1\] | \[0\] | \[- 4\] |
\[y = 3 - 2x\]
\[x\] | \[0\] | \[1\] |
---|---|---|
\[y\] | \[3\] | \[1\] |
\[Ответ:x = - 3;\ \ x = 1.\]