x²-6x+5=0
(x-1)(x-5)=0
x=1或x=5
线段AB的长度为5-1=4
设p坐标为(m,n)
n=±8×2÷4=±4
①n=4
m²-6m+5=4
m²-6m+1=0
△=36-4=32
m=(6±4√2)/2=3±2√2
③n=-4
m²-6m+5=-4
m²-6m+9=0
(m-3)²=0
m=3
综上,p坐标有三个,分别是
(3+2√2,4)(3-2√2,4),(3,-4)