①当m为何值时,方程的两根互为相反数;
x1+x2=0
2m-1=0
m=1/2
②当m为何值时,方程的两根互为倒数;
x1x2=1
m²+m-2=1
m²+m-3=0
m=(-1±√13)/2
③当m为何值时,方程有一根为0?
x=0代入,得
m²+m-2=0
(m+2)(m-1)=0
m=-2或m=1
①当m为何值时,方程的两根互为相反数;
x1+x2=0
2m-1=0
m=1/2
②当m为何值时,方程的两根互为倒数;
x1x2=1
m²+m-2=1
m²+m-3=0
m=(-1±√13)/2
③当m为何值时,方程有一根为0?
x=0代入,得
m²+m-2=0
(m+2)(m-1)=0
m=-2或m=1