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Algebra Level 4

Let a<b<ca<b<c be the three real roots of the equation 3x335x2+500=03x^3-35x^2+500=0.

Find 5002(bc)2+5002(ac)2+5002(ab)2\dfrac{500^2}{(bc)^2}+\dfrac{500^2}{(ac)^2}+\dfrac{500^2}{(ab)^2}.

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