Question

The general form of the equation of a circle is x2 + y2 + 8x + 22y + 37 = 0. The equation of this circle in standard form is (x + )2 + (y + )2 = . The center of the circle is at the point ( , ). NextReset

Answer 1

Hello : 
x² + y² + 8x + 22y + 37 = 0
(x² +8x) +(y² +22y) +37 = 0

(x² +8x+4²)-4² +(y² +22y+11²) -11²+37 = 0
(x+4)² +(y+11)²-16-121+37 =0

(x+4)² +(y+11)² =10²...(standard form )
The center of the circle is at the point (-4 , -11) and ridus 10