Add \(\frac{169}{1024}\) to both sides.
\[{x}^{2}=\frac{169}{1024}\]
Take the square root of both sides.
\[x=\pm \sqrt{\frac{169}{1024}}\]
Simplify \(\sqrt{\frac{169}{1024}}\) to \(\frac{\sqrt{169}}{\sqrt{1024}}\).
\[x=\pm \frac{\sqrt{169}}{\sqrt{1024}}\]
Since \(13\times 13=169\), the square root of \(169\) is \(13\).
\[x=\pm \frac{13}{\sqrt{1024}}\]
Since \(32\times 32=1024\), the square root of \(1024\) is \(32\).
\[x=\pm \frac{13}{32}\]
Decimal Form: ±0.40625
x=13/32,-13/32
