mx²+2(3-2m)x+3m-2=0
由于是x的完全平方式,所以有2个相同的根
判别式Δ=b²-4ac=0,即
[2(3-2m)]²-4(m)(3m-2)=0
4(3-2m)²-4m(3m-2)=0
9-12m+4m²-3m²+2m=0
m²-10m+9=0
(m-1)(m-9)=0
m=1 or m=9
mx²+2(3-2m)x+3m-2=0
由于是x的完全平方式,所以有2个相同的根
判别式Δ=b²-4ac=0,即
[2(3-2m)]²-4(m)(3m-2)=0
4(3-2m)²-4m(3m-2)=0
9-12m+4m²-3m²+2m=0
m²-10m+9=0
(m-1)(m-9)=0
m=1 or m=9