$$\frac { x ^ { 2 } + 2 a + 1 } { 1 a - 11 a + 11 } = \frac { 11 a ^ { 2 } } { 1 a - 11 a ^ { 2 } }$$
$a=\frac{\sqrt{121x^{4}+2508x^{2}+16548}}{176}+\frac{x^{2}}{16}+\frac{65}{88}$
$a=-\frac{\sqrt{121x^{4}+2508x^{2}+16548}}{176}+\frac{x^{2}}{16}+\frac{65}{88}$
$x=\sqrt{-\frac{88a^{2}-130a+1}{1-11a}}$
$x=-\sqrt{-\frac{88a^{2}-130a+1}{1-11a}}\text{, }\left(a\geq \frac{65-\sqrt{4137}}{88}\text{ and }a<\frac{1}{11}\right)\text{ or }a\geq \frac{\sqrt{4137}+65}{88}$
