AIME 2014 I #9 — Cubic √2014·x³-4029x²+2 Root Product

2600MasterPolynomialsAlgebraVietas Formulas

AIME I · 2014 · Problem 9

Let $x_1< x_2 < x_3$ be the three real roots of the equation $\sqrt{2014} x^3 - 4029x^2 + 2 = 0$. Find $x_2(x_1+x_3)$.

0 students attempted0% solvedRating 2600

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2600MasterPolynomialsAlgebraVietas Formulas

AIME I · 2014 · Problem 9

Let $x_1< x_2 < x_3$ be the three real roots of the equation $\sqrt{2014} x^3 - 4029x^2 + 2 = 0$. Find $x_2(x_1+x_3)$.

0 students attempted0% solvedRating 2600