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 .