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f(x)2+3f(x)+2 \large f(x)^2+3f(x)+2f(x)2+3f(x)+2
If f(x)=x2−8xf(x)= x^2-8xf(x)=x2−8x, then the equation above has 4 distinct real roots of the form 4±a4 \pm{\sqrt{a}}4±a for real value aaa.
Denote the sum of all values of aaa as SSS. Evaluate 1740S \dfrac {1740}S S1740.
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