Show that the equation represents a circle by rewriting it in standard form, and find the center and radius of the circle.
x2 + y2 + x = 0
standard form
center (x, y) = ( )
radius

Respuesta :

[tex]x^2+y^2+x=0\iff~x^2+x+\dfrac14+y^2=\dfrac14\iff~\left(x+\dfrac12\right)^2+y^2=\left(\dfrac12\right)^2[/tex]

which is the equation for a circle of radius [tex]\dfrac12[/tex] centered at [tex]\left(-\dfrac12,0\right)[/tex].