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VTMO 2019 — Grade 8 — semifinal Question 11

VTMO · VTMO 2019 — Grade 8 — semifinal

Question 11

$a , b$ are the distinct real roots of $x^{2} - 10 x + 2$. Find $\frac{1}{a^{3} + 2 a} + \frac{1}{b^{3} + 2 b}$.
  1. $1$
  2. $2$
  3. $\frac{1}{2}$
  4. $\frac{5}{12}$
  5. $\frac{12}{5}$