SOLUTION: The vertices of the ellipse given by 4x² + 25y² = 100 are:

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Question 1183542: The vertices of the ellipse given by 4x² + 25y² = 100 are:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

endpoint of the major axis is the vertex of the ellipse (plural: vertices)
given:
4x%5E2+%2B+25y%5E2+=+100=> center is at origin
CNX-Precalc-Figure-10-01-0042

the major axis is on x-axis
so, set y=0 and solve for x

4x%5E2+%2B+25%2A0%5E2+=+100
4x%5E2+=+100
x%5E2+=25
=> x=5 and x+=-5

vertices: (-5,0) , (5,0)