# An algebra problem by Sal Gard

Algebra Level 4

If the largest real root of $$x^6-4x^4-2x^3+4x^2+4x+1=0$$ can be expressed as $$\dfrac{\sqrt a+b}{c}$$, with $$a$$ square-free and $$b$$ and $$c$$ are relatively prime, find $${(abc)}^2+1$$

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