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AMO 2027 Grades 8-9 SET 18 - Self-study Question 3

AMO · AMO 2027 Grades 8-9 SET 18 - Self-study

Question 3

Question 34. Let $x+y=3$ and $x^2+y^2=10$. Find the value of
$$A=\frac1{x^2}+\frac1{y^2}+\frac1x+\frac1y.$$
  1. 14
  2. 34
  3. 46
  4. Impossible to know.
  5. None of the above