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Home » However, math olympiad problems may accept fractional in calculation only if logical - Groen Casting

However, math olympiad problems may accept fractional in calculation only if logical - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Por lo tanto, el valor de $x^2 + y^2$ es $\boxed{13}$.

📌 Pregunta: Si $a + b = 7$ y $ab = 10$, encuentra $a^3 + b^3$.

📌 a^3 + b^3 = (a + b)^3 - 3ab(a + b)

📌 a^3 + b^3 = 7^3 - 3 \times 10 \times 7 = 343 - 210 = 133

📌 Por lo tanto, el valor de $a^3 + b^3$ es $\boxed{133}$.

📌 Pregunta: Si $x + y = 9$ y $x^2 + y^2 = 41$, encuentra $xy$.

📌 9^2 = 41 + 2xy \implies 81 = 41 + 2xy \implies 2xy = 40 \implies xy = 20

📌 Por lo tanto, el valor de $xy$ es $\boxed{20}$.

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