Difference between revisions of "2018 AMC 10A Problems/Problem 10"

Revision as of 15:28, 8 February 2018

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

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

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

2018 AMC 10A (Problems • Answer Key • Resources)
Preceded by Problem 9	Followed by Problem 11
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All AMC 10 Problems and Solutions

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 == Solution ==
+<math>\sqrt {49-x^2} + \sqrt {25-x^2}</math>
 == See Also ==