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Question
For what value of m does the equation, x2+2x+m=0 have two distinct real roots?
Options:
A .  m = 1
B .  m
C .  m > 1
D .  m = 2
Answer: Option B
:
B
Step 1 :For, x2+2x+m=0,
a=1,b=2,c=m
We know that
D=b24ac
D=(2)24m
=44m
Step 2 :The roots of a quadratic equation are real and distinct only when D>0
Step 3 : 44m>0
4>4m
m<1

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