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Given the equation x2 − 14x + 2y2 + 45 = 0 find the foci, vertices, directrix, axis, and asymptotes, where app?
Given the equation x2 − 14x + 2y2 + 45 = 0
find the foci, vertices, directrix, axis, and asymptotes, where applicable.
Please, if anyone could go through how to get the right answer that would be awesome.
1 Answer
- ted sLv 77 years agoFavorite Answer
this is an ellipse....[ x² - 14 x + 49] + 2y² = 4---> [ x - 7]² / 4 + y² / 2 = 1 { standard form }
center ( 7 , 0 )...vertices of ( 7 ± 2 , 0 ) and ( 7 , 0 ± √2 )...axes x = 7 , y = 0..
a² = b² + c² ---> c² = 2----> foci are ( 7 ± √2 , 0 )...directrices are x = 7 ± 2 √2
now go to 'wikipedia.org ' , type in 'directrix of an ellipse'..and READ