\[\boxed{\text{549\ (548).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[x^{2} = 0,5x + 3\]
\[\left\{ \begin{matrix} y = x^{2}\text{\ \ \ \ \ \ \ \ \ \ \ } \\ y = 0,5x + 3 \\ \end{matrix} \right.\ \]
\[y = x^{2}\]
\[x\] | \[0\] | \[1\] | \[2\] | \[- 1\] | \[- 2\] |
---|---|---|---|---|---|
\[y\] | \[0\] | \[1\] | \[4\] | \[1\] | \[4\] |
\[y = 0,5x + 3\]
\[x\] | \[0\] | \[1\] | \[2\] |
---|---|---|---|
\[y\] | \[3\] | \[3,5\] | \[4\] |
\[x^{2} = 0,5x + 3\]
\[x^{2} - 0,5x - 3 = 0\ \ \ \ \ \]
\[D = 0,25 + 12 = 12,25\]
\[x_{1,2} = \frac{0,5 \pm \sqrt{12,25}}{2} = \frac{0,5 \pm 3,5}{2}.\]
\[x_{1} = - 1,5;\ \ x_{2} = 2.\]
\[\text{\ \ }\]