This Equation Has a Property .

Algebra Level 4

x 3 + p x 2 + q x + r x^3 + px^2 + qx + r

In the given equation, it has the properties that :
1. If k k is a root, then k 1 k^{-1} is a root.
2. If m is a root, 1 m 1 - m is also a root.

If the sum of the possible values of p + q + r p + q + r , is denoted as n n , Find the value of n n


The answer is 1.5.

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