\[\boxed{\text{360\ (360).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[\textbf{а)}\ 2x^{7} + x^{6} + 2x^{4} +\]
\[+ x^{3} + 2x + 1 = 0\]
\[2x\left( x^{6} + x^{3} + 1 \right) +\]
\[+ \left( x^{6} + x^{3} + 1 \right) = 0\]
\[(2x + 1)\left( x^{6} + x^{3} + 1 \right) = 0\]
\[1)\ 2x + 1 = 0\ \ \]
\[x_{1} = - \frac{1}{2} = - 0,5.\]
\[2)\ x^{6} + x^{3} + 1 = 0\]
\[Пусть\ t = x^{3};\ t^{2} = x^{6}:\ \ \]
\[t^{2} + t + 1 = 0\]
\[D = 1 - 4 < 0 \Longrightarrow корней\ нет.\]
\[Ответ:x = - 0,5.\]
\[\textbf{б)}\ x^{7} - 2x^{6} + 2x^{4} - 4x^{3} +\]
\[+ x - 2 = 0\]
\[x^{6} \cdot (x - 2) + 2x^{3}(x - 2) +\]
\[+ (x - 2) = 0\]
\[(x - 2)\left( x^{6} + 2x^{3} + 1 \right) = 0\]
\[1)\ x - 2 = 0\ \ \]
\[x_{1} = 2.\]
\[2)\ x^{6} + 2x^{3} + 1 = 0\]
\[Пусть\ \ t = x^{3};\ \ t^{2} = x^{6}:\]
\[t^{2} + 2t + 1 = 0\]
\[(t + 1)^{2} = 0\]
\[t = - 1\]
\[\Longrightarrow x^{3} = - 1\ \ \]
\[x_{2} = - 1.\]
\[Ответ: - 1;2.\]
\[\boxed{\text{360.}\text{\ }\text{ОК\ ГДЗ\ -\ домашка\ на\ 5}}\]
\[\textbf{а)}\ 5x - 8y = - 2\]
\[8y = 5x + 2\]
\[\textbf{б)}\ 5x + 8y = 2\]
\[8y = - 5x + 2\]
\[\textbf{в)}\ 3x + 4y = 25\]
\[4y = - 3x + 25\]
\[\textbf{г)}\ 3x + 12y = - 20\]
\[12y = - 3x - 20\ \]
\[\textbf{д)}\ 15x - 18 = 0\]
\[15x = 18\]
\[x = \frac{18}{15}\]
\[\textbf{е)}\ 10y + 5 = 0\]
\[10y = - 5\]
\[y = - 0,5\]