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Mathematics
Mathematics
Problem
Consider the quadratic equation
x
2
+
2
m
x
+
5
=
0
x^2 + 2mx + 5 = 0
x
2
+
2
m
x
+
5
=
0
. Which inequality involving
m
m
m
ensures that the equation has no real roots? a)
m
2
>
5
m^{2} > 5
m
2
>
5
b)
m
2
<
5
m^{2} < 5
m
2
<
5
c)
m
>
5
m > \sqrt{5}
m
>
5
d)
m
2
=
5
m^{2} = 5
m
2
=
5
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