(x-2)^2+(x-3)^2=25怎么解

(x-2)^2+(x-3)^2=25怎么解
(x-2)^2+(x-3)^2=25怎么解

(x-2)^2+(x-3)^2=25怎么解
(x-2)^2+(x-3)^2=25
2x²-10x-12=0
x²-5x-6=0
(x-6)(x+1)=0
∴x=6或x=-1

x²-4x+4+x²-6x+9=25
x²-5x-6=0
(x-6)(x+1)=0
x=6,x=-1

(x-2)^2+(x-3)^2=25
x^2-4x+4+x^2-6x+9=25
2x^2-10x-12=0
x^2-5x-6=0
(x-6)(x+1)=0
x-6=0,x+1=0
x=6,x=-1