Devilish fun

Algebra Level 4

The product of the real roots of the polynomial

f(x)=x44x3+6x24x666 f(x) = x^4 - 4x^3 + 6x^2 -4x-666

can be written as aba - \sqrt{b}, where aa and bb are positive integers. What is the value of a+ba+b?

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