ОГЭ по математике. №9 Квадратные уравнения. ФИПИ. Задача 10

ОТВЕТ: 0.

\(5{x^2} = 35x\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,5{x^2}-35x = 0\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,x\left( {5x-35} \right) = 0\,\,\,\,\,\, \Leftrightarrow \)

\( \Leftrightarrow \,\,\,\,\,\,\left[ \begin{array}{l}x = 0,\\5x-35 = 0\end{array} \right.\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,\left[ \begin{array}{l}x = 0,\\5x = 35\end{array} \right.\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,\left[ \begin{array}{l}x = 0,\\x = 7.\end{array} \right.\)

Меньший корень уравнения \(x = 0.\)

Ответ: 0.