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Mathematics
Problem
For the quadratic equation
2
x
2
+
k
x
+
3
=
0
2x^2+kx+3=0
2
x
2
+
k
x
+
3
=
0
to have no real roots, which of the following conditions on
k
k
k
must hold? a)
∣
k
∣
>
24
|k|>\sqrt{24}
∣
k
∣
>
24
b)
∣
k
∣
≤
24
|k|\le \sqrt{24}
∣
k
∣
≤
24
c)
∣
k
∣
<
24
|k|<\sqrt{24}
∣
k
∣
<
24
d)
∣
k
∣
<
12
|k|<\sqrt{12}
∣
k
∣
<
12
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