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\frac{-1+17}{2\left(-72\right)}
Calculate the square root of 289 and get 17.
\frac{16}{2\left(-72\right)}
Add -1 and 17 to get 16.
\frac{16}{-144}
Multiply 2 and -72 to get -144.
-\frac{1}{9}
Reduce the fraction \frac{16}{-144} to lowest terms by extracting and canceling out 16.