Question

Найдите эксцентриситет эллипса 4x^2+9y^2=144.
$4 {x}^{2} + 9 {y}^{2} = 144$

Answer 1

$4x^2+9y^2=144\\frac{x^2}{36}+frac{y^2}{16}=1\\e=sqrt{1-frac{16}{36}}=sqrt{frac{20}{36}}=sqrt{frac{5}{9}}=frac{sqrt 5}{3}$