(kx-6)[x-(k+6)]=0
x1=6/k x2=k+6
由题,k>0
(1) 6/k=k+6
k²+6k-6=0
k=√15-3
(2)6/k=√2(k+6)
k²+6k-√3=0
k=√(9+√3)-3
(3)k+6=√2*6/k
k²+6k-6√2=0
k=√3+√6-3
(kx-6)[x-(k+6)]=0
x1=6/k x2=k+6
由题,k>0
(1) 6/k=k+6
k²+6k-6=0
k=√15-3
(2)6/k=√2(k+6)
k²+6k-√3=0
k=√(9+√3)-3
(3)k+6=√2*6/k
k²+6k-6√2=0
k=√3+√6-3