So the quadratic equation of one variable must have two unequal real roots.

(2) From Vieta theorem, there are x 1*x2=c/a, x1+x2 =-b/a.

So1/x1+1/x2 = (x1+x2)/x1* x2 = (2m+1)/(m 2+m-2

1/x1+1/x2 =1+1/(m+2) can be simplified as m 2 = 4.

Because m+2 is not equal to 0.

So m=2