00:02
We are given the vertices and eccentricity of an ellipse, and we're asked to find the equation of this ellipse.
00:15
So the vertices are plus or minus five, zero, and the eccentricity e is three -fifths.
00:32
Now the vertices, plus or minus five -zero, this is, of course, equal to plus or minus five -zero, plus 0 .00.
00:46
And so we see that 0 -0 is the center of the ellipse and that a is 5.
00:58
Now we know that for an ellipse, the eccentricity e is c over a.
01:05
Therefore, it follows that 3 fifths is equal to c over five, and therefore that c is equal to three...