3} \atop {x^2-7x+11=-1, x<3}} \right.
\\\
\left \{ {{x^2-7x+10=0, x>3} \atop {x^2-7x+12=0, x<3}} \right.
\\\
\left \{ {{x_1=5. x_2=2, x>3} \atop {x_3=4. x_4=3, x<3}} \right.
\\\
x=5" alt="x^2-7x+11= \frac{x+3}{|x+3|}
\\\
\left \{ {{x^2-7x+11=1, x>3} \atop {x^2-7x+11=-1, x<3}} \right.
\\\
\left \{ {{x^2-7x+10=0, x>3} \atop {x^2-7x+12=0, x<3}} \right.
\\\
\left \{ {{x_1=5. x_2=2, x>3} \atop {x_3=4. x_4=3, x<3}} \right.
\\\
x=5" align="absmiddle" class="latex-formula">
Ответ: 5