Question

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

Answer 1

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