方程(m²+m)(x+2)=6x+m+15无解,则m为~
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方程(m²+m)(x+2)=6x+m+15无解,则m为~
方程(m²+m)(x+2)=6x+m+15无解,则m为~
方程(m²+m)(x+2)=6x+m+15无解,则m为~
(m²+m)(x+2)=6x+m+15
(m²+m-6)x=-2(m²+m)+m+15
(m²+m-6)x=-2m²-m+15
因为无解,所以
m²+m-6=0,而-2m²-m+15≠0
(m-2)(m+3)=0,(-2m+5)(m+3)≠0
所以
m=2
化简m^2x+2m^2+mx+2m-6x-m-15=0
(m^2+m-6)x+2m^2+m-15=0
所以m^2+m-6=0,2m^2+m-15≠0
m=-3,(舍去)所以m=2
化简得到:
(m^2+m-6)x=-2m^2-m+15
m≠-3
(m²+m)(x+2)=6x+m+15就是(m²+m-6)x=-2m²-m+15
方程无解,就是(m²+m-6)=0而-2m²-m+15≠0
所以m=2