Question 449658

Cartesian equation:

{{{x^2/a^2+y^2/b^2 = 1}}}

if  vertex at (5,0)..........>......vertices are at (5,0) and 
(-5,0)

if co-vertx at (0,-3).........>......co-vertices are at (0,-3) and (0,3)

{{{a}}}: semi-major axis length

major axis length 2a=10.......>......{{{a=5}}}

{{{b}}}: semi-minor axis length

minor axis length 2b=6.................>......{{{b=3}}}


{{{x^2/5^2+y^2/3^2 = 1}}}

{{{x^2/25+y^2/9 = 1}}}

Integer solutions:
x = ±5, y = 0
x = 0, y = ±3