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AMC10 2027 - Self-practice Set 4 Question 17

AMC10 · AMC10 2027 - Self-practice Set 4

Question 17

A real number $x$ satisfies $\sqrt{49-x^2}-\sqrt{25-x^2}=3$. Find $\sqrt{49-x^2}+\sqrt{25-x^2}$.
  1. $8$
  2. $\sqrt{33}+3$
  3. $9$
  4. $2\sqrt{10}+4$
  5. $12$