Find the Center and the radius of the circle

x2 + y2 - 6x + 8y - 7 = 0.

C (3,-4), r=4*sqrt (2)

Step-by-step explanation:

C (p, q)

x^2+y^2+dx+ey+f=0

p=-d/2, q=-e/2, r^2=p^2+q^2-f

x^2+y^2 - 6x+8y-7=0

p = - (-6) / 2=6/2=3

q=-8/2=-4

r^2=3^2 + (-4) ^2+7

r^2=9+16+7

r^2=32

r=sqrt (32)

r=sqrt (16*2)

r=4*sqrt (2)