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MathNet 2015-part-03 — 191 problems (EN–VI) Question 144

Math Olympiad Vault · MathNet 2015-part-03 — 191 problems (EN–VI)

Question 144

If $x^{3}-3 \sqrt{3} x^{2}+9 x-3 \sqrt{3}-64=0$, find the value of $x^{6}-8 x^{5}+13 x^{4}-5 x^{3}+49 x^{2}-137 x+2015$.