Question 965327
Write an equation of the ellipse with a vertex at (5,0), a focus at (4,0) and a center at (0,0).
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given ellipse has a horizontal major axis
its standard form of equation: {{{(x-h)^2/a^2+(y-k)^2/b^2=1}}}, a>b, (h,k)=coordinates of center.
a=5 (distance from center to vertex)
a^2=25
c=4 (distance from center to focus)
c^2=16
a^2-b^2=c^2
b^2=a^2-c^2=25-16=9
equation: {{{x^2/25+y^2/9=1}}}