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Let's take a journey back to the world of quadratic equations! The equation \( x^{2} + 17x - 60 = 0 \) can be solved using the famous quadratic formula \( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \). Here, \( a = 1 \), \( b = 17 \), and \( c = -60 \). Plugging in these values will reveal the roots of this equation. Aren't squaring and factoring just the bee's knees of math? Now, if you're ever stuck solving quadratics, remember to check if the equation can be factored before diving into the quadratic formula. Try to rewrite it in the form \( (x + p)(x + q) = 0 \) where \( p \) and \( q \) satisfy \( p + q = 17\) and \( p \cdot q = -60 \). Sometimes the simplest solution can be the most satisfying!