(1)
△=b^2-4ac=(4k+1)^2-4*1*(2k-1)
=16k^2+8k+1-8k^2+4
=16k^2+4>=4>0
所以此方程一定有两个不相等的实数根
(2)
若X1、X2是方程的两个实数根
(X1-2)(X2-2)
=x1x2-2x1-2x2+2
=x1x2-2(x1+x2)+2
=2k-1-2(-(4k+1))+2
=2k-1+2(4k+1)+2
=2k-1+8k+2+2
=10k+3=2k-3
8k=-6
k=-3/4
(1)
△=b^2-4ac=(4k+1)^2-4*1*(2k-1)
=16k^2+8k+1-8k^2+4
=16k^2+4>=4>0
所以此方程一定有两个不相等的实数根
(2)
若X1、X2是方程的两个实数根
(X1-2)(X2-2)
=x1x2-2x1-2x2+2
=x1x2-2(x1+x2)+2
=2k-1-2(-(4k+1))+2
=2k-1+2(4k+1)+2
=2k-1+8k+2+2
=10k+3=2k-3
8k=-6
k=-3/4