Using geometric method: combining circle and straight line equation ⊙ C: (x-2)? +(y-7)？ =8; Straight line l: y = x+5

Get the equation and eliminate the variable y to get it.

(x-2)？ +(x+5-7)？ =8

simplify

(x-2)？ =4

Double-sided square

x-2= 2

x=4 y=9

x=0 y=5