Write the equation in standard form and then find the center (h, k) and

x^2+8x + y2 + 4y - 5 = 0

Center is at (-4, - 2) and the radius = 5.

Step-by-step explanation:

Convert to Standard form:

x^2 + 8x + y2 + 4y - 5 = 0

Completing the square:

(x + 4) ^2 - 16 + (y + 2) ^2 - 4 = 5

(x + 4) ^2 + (y + 2) ^2 = 5 + 16 + 4

(x + 4) ^2 + (y + 2) ^2 = 25

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

The center is at (-4, - 2) and the radius = 5.