The equation is a circle because the ratio of [tex]x^2 \ and \ y^2[/tex] must be equal,
Equation of a circle
- The standard equation of a circle is expressed as [tex]x^2+y^2+2gx+2fy+C=0[/tex]
Given the equation of the circle [tex]3x^2 + 6x + 3y^2 + 7y + 4 = 0[/tex]
Rearrange the equation
[tex]3x^2 + 6x + 3y^2 + 7y + 4 = 0\\
3x^2 + 3y^2 + 6x +7y + 4 = 0[/tex]
The equation is a circle because the ratio of [tex]x^2 \ and \ y^2[/tex] must be equal,
Learn more on equation of a circle here: https://brainly.com/question/1506955
