Question

решите уравнение x −8x³ = 0; 3

Answer 1

$x-8x^3=0\Leftrightarrow x(1-8x^2)=0\Rightarrow \left[ \begin{gathered} x=0 \\ 1-8x^2=0 \\ \end{gathered} \right.\Leftrightarrow \left[ \begin{gathered} x=0 \\ x^2=\cfrac{1}{8} \\ \end{gathered} \right.\Rightarrow x=\left \{ 0,\pm \frac{1}{\sqrt{8}} \right \}$