The equation of a circle is x2 y2 6x 4y 10 = 1. what is this equation written in its standard form?

The standard form of circle equation is written in:

(x-h) ^2 + (y-k) ^2=r^2

get the square of binomial for x and y by completing the square

x2+6x + ___+y2+4y+___=1-10

where

a for x = 1; a for y = 1

2ab=6 2ab = 4

b for x=3 b for y = 2

b^2=9 b^2=4

(x2+6x+9) + (y2+4y+4) = 1-10+9+4

The standard form of the circle with the equation x2+y2+6x+4y+10=1 is (x+3) ^2 + (y+2) ^2 = 4