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2018 AMC 10A Question 10

AMC10 · 2018 AMC 10A

Question 10

Suppose that real number $x$ satisfies $$
\sqrt{49-x^2}-\sqrt{25-x^2}=3.
$$ What is the value of $$
\sqrt{49-x^2}+\sqrt{25-x^2}?
$$
  1. $8$
  2. $\sqrt{33}+3$
  3. $9$
  4. $2\sqrt{10}+4$
  5. $12$