(x-3)²+(x-2)²=(x-1)²
(x-3)²+(x-2)²-(x-1)² =0
(x-3)²+(x-2+(x-1))(x-2-(x-1))=0
(x-3)²+(2x-3)(-1)=0
x² -6x+9-2x+3=0
x² -8x+12=0
(x-2)(x-6)=0
x1=2
x2=6 (x-3)²+(x-2)²=(x-1)²
(x-3)²+(x-2)²-(x-1)² =0
(x-3)²+(x-2+(x-1))(x-2-(x-1))=0
(x-3)²+(2x-3)(-1)=0
x² -6x+9-2x+3=0
x² -8x+12=0
(x-2)(x-6)=0
x1=2
x2=6