Cuadrados Perfectos

\[x^2 = 25\]
\[x=\boxed{-5, 5}\]

\[x^2 = 64\]
\[x=\boxed{-8, 8}\]

\[x^2 = 9\]
\[x=\boxed{-3, 3}\]

\[x^2 = \frac{81}{64}\]
\[x=\boxed{\frac{-9}{8}, \frac{9}{8}}\]

\[x^2 = \frac{9}{25}\]
\[x=\boxed{\frac{-3}{5}, \frac{3}{5}}\]

\[x^2 = \frac{16}{25}\]
\[x=\boxed{\frac{-4}{5}, \frac{4}{5}}\]

\[x^2 + 1 = 26\]
\[x=\boxed{-5, 5}\]

\[x^2 + 1 = \frac{53}{4}\]
\[x=\boxed{\frac{-7}{2}, \frac{7}{2}}\]

\[x^2 + 1 = \frac{85}{4}\]
\[x=\boxed{\frac{-9}{2}, \frac{9}{2}}\]

\[4(x^2 + 1) = 85\]
\[x=\boxed{\frac{-9}{2}, \frac{9}{2}}\]

\[5(x^2 + 1) = 85\]
\[x=\boxed{-4, 4}\]

\[4(x^2 + 1) = \frac{232}{9}\]
\[x=\boxed{\frac{-7}{3}, \frac{7}{3}}\]