Question

当m( )时,方程2(x-3)+3m(x+2)=7有唯一解,当m( )时,此方程无解

Answer 1

当m( )时,方程2(x-3)+3m(x+2)=7有唯一解,当m( )时,此方程无解

2(x-3)+3m(x+2)=7

(2+3m)x-6+6m=7

(2+3m)x=13-6m

有一解,即2+3m≠0, m≠-2/3

无解, 即2+3m=0, 13-6m≠0

m=-2/3, m≠13/6