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The graph of an equation

 

sqrt((x-3)^2+(y+4)^2) + sqrt((x+5)^2+(y-8)^2)=20

 

is an ellipse. What is the distance between its foci?

 Aug 11, 2019
 #1
avatar+105538 
+2

\(\sqrt{(x-3)^2+(y+4)^2} + \sqrt{(x+5)^2+(y-8)^2}=20\\~\\ \)

 

Sorry, i have no idea. 

 

Here you can see the simplified version

 

https://www.wolframalpha.com/input/?i=sqrt((x-3)%5E2%2B(y%2B4)%5E2)+%2B+sqrt((x%2B5)%5E2%2B(y-8)%5E2)%3D20

 Aug 11, 2019
 #2
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+1

Thanks for the help! I got the answer to the problem after a lot of work. 

 Aug 11, 2019

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