Find the x and yintercepts of the given circle the circle wi

Find the x- and y-intercepts of the given circle. the circle with center (3, 6) and radius 7

Equation of circle with centre ( 3, -6) and radius = 7

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

(x -3)^2 +(y +6)^2 = 49

X intercept : plug y=0

(x-3)^2 +36 = 49

(x-3)^2 = 13

x= 3 +sqrt13 , 3- sqrt13

Y intercept : plug x=0

(0 -3)^2 +(y +6)^2 = 49

9 +(y+6)^2 = 49

y = -6 + sqrt40 , -6 - sqrt40