# Don't need hardwork

Algebra Level 4

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

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

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