# Inspired by Paul Patawaran

Algebra Level pending

$\large 4b^2 -16b + 4 = 0$

Given that positive real $$b$$ satisfies the equation above, find the value of $$\left(b^6 + b^5\right)\left(\dfrac{1}{b^{11}} + 1\right)$$ without finding the value of $$b$$.

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