Given that the square of hyperbola 2x - the square of 3Y = 18, what is the absolute value of the distance difference between a point and two focal points on the hyperbola, and what is the focal length? Answer the specific steps

Given that the square of hyperbola 2x - the square of 3Y = 18, what is the absolute value of the distance difference between a point and two focal points on the hyperbola, and what is the focal length? Answer the specific steps

The square of hyperbola 2x - the square of 3Y = 18
That is, X & # 178 / 9-y & # 178 / 6 = 1
∴ a²=9,b²=6
∴ c²=9+6=15
That is, a = 3, C = √ 15
Using the definition of hyperbola,
The absolute value of the distance difference between a point and two focal points on the hyperbola is 2A = 6
The focal length is 2C = 2 √ 15