Question

Помогите пожалуйста с решением

Answer 1

$\displaystyle\bf\\\frac{2-\Big|x-5\Big|}{x-7} =0\\\\\\\left \{ {{2-|x-5|=0} \atop {x-7\neq 0}} \right. \\\\\\\left \{ {{|x-5|=2} \atop {x\neq 7}} \right. \\\\\\\left\{\begin{array}{ccc}\left[\begin{array}{ccc}x-5=2\\x-5=-2\end{array}\\x\neq 7\end{array}\right\\\\\\\left\{\begin{array}{ccc}\left[\begin{array}{ccc}x=7- \ neyd\\x=3\end{array}\\x\neq 7\end{array}\right\\\\\\Otvet \ : 3$