SOLUTION: Find the vertices and foci of the conic. 25x^2 + 4y^2 + 50x = 75

Question 439456: Find the vertices and foci of the conic. 25x^2 + 4y^2 + 50x = 75
Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
We rewrite the equation in the form: simplify:
, divide both sides by 100 and have:
, which is the equation of ellipse centered at (-1, 0).
the vertices are:(-1, 5) and (-1, -5).
The foci are: => => c=+/-sqrt(21) and the foci:
(-1, ) and (-1,-).

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