直线化成y^2=4x^2-6x+(9/4)
则4X=4x^2-6x+(9/4)
化为16X^2-40x+9=0
△=1600-576=1024
√1024=32
X1=72/32=9/4,Y1=3
X2=8/32=1/4,Y2=-1
A(9/4,3),B(1/4,-1)
|AB|=√2^2+4^2=√4+16=√20=±2√5
|AB|>0,故|AB|=2√5
直线化成y^2=4x^2-6x+(9/4)
则4X=4x^2-6x+(9/4)
化为16X^2-40x+9=0
△=1600-576=1024
√1024=32
X1=72/32=9/4,Y1=3
X2=8/32=1/4,Y2=-1
A(9/4,3),B(1/4,-1)
|AB|=√2^2+4^2=√4+16=√20=±2√5
|AB|>0,故|AB|=2√5