The equation (m being real), mx2+2x+m=0 has two distinct roots if -
m 0, 1
Step 1:- For, mx2+2x+m=0, value of discriminant:
D=(2)2–4m2=4−4m2
Step 2:- The roots of quadratic equation are real and distinct only when D>0
Step 3:- 4(1−m2)>0
(1−m2)>0
m2<1
⇒−1<m<1