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But \( p \) is large negative denominator: \( p = -\frac{407}{3} \Rightarrow p^3 = -\frac{67432643}{27} \), so \( -4p^3 = -4 \cdot (-\frac{67432643}{27}) = \frac{269730372}{27} \approx 9996788 \)
\( q^2 = \left(\frac{158}{3}\right)^2 = \frac{24964}{9} \), so \( 27q^2 = 27 \cdot \frac{24964}{9} = 3 \cdot 24964 = 74892 \)
Thus \( \Delta = 9996788 - 74892 = 9920896 > 0 \), so **three distinct real roots**!

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