Question 742882
{{{ 5x^2+4y^2=180}}}

{{{ 5x^2/180+4y^2/180=180/180}}}

{{{ x^2/36+y^2/45=1}}}......it's an ellipse with center at ({{{0}}},{{{0}}}), foci at  ({{{0}}},{{{-3}}}) and ({{{0}}},{{{3}}}), semi-minor axis length {{{6}}}, semi-major axis length {{{3sqrt(5)=6.7}}}, and vertices at ({{{0}}},{{{3sqrt(5)}}}) and ({{{0}}},{{{-3sqrt(5)}}})


{{{drawing(400,400,-10,10,-10,10,
graph(400,400,-10,10,-10,10,sqrt(45-5x^2/4)),
graph(400,400,-10,10,-10,10,-sqrt(45-5x^2/4)), line(0,-6.7,0,6.7), line(6,0,-6,0) )}}}