Question

Hallar el centro y radio de la ecuación x2+y2-2x+4Y-4=0

Answer 1

$x^2+y^2-2x+4y-4=0$
$\left(x-h\right)^2+\left(y-k\right)^2=r^2$
Completar cuadrados:
$x^2-2x+y^2+4y=4$
$( x^{2} -2x+1^{2})+(y^{2}+4y+2^{2})=4+1+4$
$\left(x-1\right)^2+\left(y+2\right)^2=9$
$Centro \left(h,\:k\right)=\left(1,\:-2\right),\:r=3$