Question

Write the equation in standard form and then find the center (h, k) and
x^2+8x+ y2 + 4y - 5= 0

Answer 1

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

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.