2018 AMC 10A Problems/Problem 10

Suppose that real number $x$ satisfies $\sqrt{49-x^2}-\sqrt{25-x^2}=3$ . What is the value of $\sqrt{49-x^2}+\sqrt{25-x^2}$ ?

$\textbf{(A) }8 \qquad \textbf{(B) }\sqrt{33}+8\qquad \textbf{(C) }9 \qquad \textbf{(D) }2\sqrt{10}+4 \qquad \textbf{(E) }12 \qquad$

Solution

$\sqrt {49-x^2} + \sqrt {25-x^2}$

2018 AMC 10A (Problems • Answer Key • Resources)
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