# Looks big?-3

Algebra Level 3

$x^5-40x^4+Px^3+Qx^2+Rx+S=0$

Given that all the roots of the equation above follows a geometric progression, and the sum of reciprocals of all these roots is 10. Find $$|S|$$.

Notation: $$| \cdot |$$ denotes the absolute value function.

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