x^2-(2m-3)x-m^2=0
设二个根是a,b
a+b=2m-3
ab=-m^2
1/a+1/b=(a+b)/ab=(2m-3)/(-m^2)=1
2m-3=-m^2
m^2+2m-3=0
(m+3)(m-1)=0
m=-3或m=1.
代入检验符合.
x^2-(2m-3)x-m^2=0
设二个根是a,b
a+b=2m-3
ab=-m^2
1/a+1/b=(a+b)/ab=(2m-3)/(-m^2)=1
2m-3=-m^2
m^2+2m-3=0
(m+3)(m-1)=0
m=-3或m=1.
代入检验符合.