Write the eccentricity of the ellipse 9x2 + 5y2 – 18x – 2y – 16 = 0
Given the equation of the ellipse is 9x2 + 5y2 - 18x - 2y - 16 = 0.
We need to find the eccentricity.
Given equation can be rewritten as
⇒ 
⇒ 
⇒ 
⇒ 
.
We know for the ellipse 
(b2>a2)
⇒ 
Here 
and 
, b2>a2
⇒ 
⇒ 
⇒ 
⇒ 
∴ The eccentricity is 
.
2