(x-3)/(x-2)-(x-2)/k=0
[k(x-3)-(x-2)^2]/k(x-2)=0
kx-3k-x^2+4x-4=0
x^2-(k+4)x+3k+4=0
△=(k+4)^2-4(3k+4)
=k^2+8k+16-12k-16
=k^2-4k
(x-3)/(x-2)-(x-2)/k=0
[k(x-3)-(x-2)^2]/k(x-2)=0
kx-3k-x^2+4x-4=0
x^2-(k+4)x+3k+4=0
△=(k+4)^2-4(3k+4)
=k^2+8k+16-12k-16
=k^2-4k