But that would be 5!

Algebra Level 3

If the following equation

\( \large \frac{x^{2} - 240x + 14400}{x^{2} - 5x + 6} = 0 \)

has one solution that can be written in the form of \( \frac{a}{b} \) where \( a \) and \( b \) are co-prime. Find \( a - b \).

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