11;" alt="\sqrt{x-1}+\sqrt{11-x}=4;\\\\x-1 \geq 0;11-x \geq 0;\\\\x \geq 1; 11 \geq x;\\\\1 \leq x \leq 11;\\\\\sqrt{x-1}-4=-\sqrt{11-x};\\\\x-1-8\sqrt{x-1}+16=-11+x;\\\\15-8\sqrt{x-1}=-11;\\\\-8\sqrt{x-1}=-26;\\\\\sqrt{x-1}=3.25;\\\\x=3.25^2+1=11.5625>11;" align="absmiddle" class="latex-formula">
корней нет!!!