Question

Find the center and the radius of the circle by completing the square, (x ^ 2 + 4x + y ^ 2 - 10y - 35 = 0) PLEASE HELP ME

Answer 1

`x ^ 2 + 4x + y ^ 2 - 10y - 35 = 0 \\ {x}^(2) + 4x + 4 - 4 + {y}^(2) - 10y - 35 + 60 - 60 = 0 \\ (x + 2) ^(2) - 4 + (y - 5) ^(2) - 60 = 0 \\ {( x+ 2)}^(2) + (y - 5) ^(2) = 64`

The center is (-2; 5) and the radius is 8