<PRE><B>Question 760689</B>
For the ellipse represented by 
25x^2 + 16y^2 -160y = 0 
find the vertices on major axis

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Complete the square on the y terms.
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25x^2 + 16(y^2 - 10y + 25) = 16*25
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25x^2 + 16(y-5)^2 = 400
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x^2/16 + (y-5)^2/25 = 1
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Center at (0,5)
Vertices on major axis: (0,5-5) (0,5+5)
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Ans: (0,0) and (0,10)
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Cheers,
Stan H.</PRE>