My radical expressions are shakyI need help deriving x2/a2 + y2/(a2-c2) =1 from √[(x+c)2+y2]-√[(x-c)2+y2]=+-2aIt's a hyperbola equation by the way

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x2/a2 + y2/(a2-c2) =1 from √[(x+c)2+y2]-√[(x-c)2+y2]=+-2a

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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My radical expressions are shaky

I need help deriving x²/a² + y²/(a²-c²) =1 from √[(x+c)²+y²]-√[(x-c)²+y²]=+-2a

It's a hyperbola equation by the way

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