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

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\textbf{(E) }12 \qquad
 
\textbf{(E) }12 \qquad
 
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== See Also ==
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{{AMC10 box|year=2018|ab=A|num-b=9|num-a=11}}
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{{MAA Notice}}

Revision as of 14:58, 8 February 2018

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

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

See Also

2018 AMC 10A (ProblemsAnswer KeyResources)
Preceded by
Problem 9
Followed by
Problem 11
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AMC 10 Problems and Solutions

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