Question

Найти все характеристики эллипса по уравнению 9x^2-6x+y^2+2y=0

Answer 1

Ответ:

:) надеюсь, правильно ...

Answer 2

Characteristics of an Ellipse

To find the characteristics of an ellipse given the equation 9x^2 - 6x + y^2 + 2y = 0, we can analyze the equation and use the standard form of an ellipse equation. The standard form of an ellipse equation is:

((x-h)^2 / a^2) + ((y-k)^2 / b^2) = 1

where (h, k) represents the center of the ellipse, and 'a' and 'b' represent the semi-major and semi-minor axes, respectively.

To convert the given equation to the standard form, we need to complete the square for both the x and y terms. Let's start with the x terms:

9x^2 - 6x + y^2 + 2y = 0

Divide the equation by 9 to simplify:

**x^