ОГЭ по математике. №9 Квадратные уравнения. ФИПИ. Задача 9

ОТВЕТ: 0.

\(2{x^2} = 8x\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,2{x^2}-8x = 0\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,x\left( {2x-8} \right) = 0\,\,\,\,\,\, \Leftrightarrow \)

\( \Leftrightarrow \,\,\,\,\,\,\left[ \begin{array}{l}x = 0,\\2x-8 = 0\end{array} \right.\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,\left[ \begin{array}{l}x = 0,\\2x = 8\end{array} \right.\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,\left[ \begin{array}{l}x = 0,\\x = 4.\end{array} \right.\)

Меньший корень уравнения \(x = 0.\)

Ответ: 0.