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Mathematics
Problem
Find the set of values of
k
k
k
for which the quadratic equation
2
x
2
+
k
x
+
3
=
0
2x^{2} + kx + 3 = 0
2
x
2
+
k
x
+
3
=
0
has no real roots. a)
∣
k
∣
<
2
3
|k| < 2\sqrt{3}
∣
k
∣
<
2
3
b)
∣
k
∣
≤
2
6
|k| \le 2\sqrt{6}
∣
k
∣
≤
2
6
c)
∣
k
∣
<
2
6
|k| < 2\sqrt{6}
∣
k
∣
<
2
6
d)
∣
k
∣
>
2
6
|k| > 2\sqrt{6}
∣
k
∣
>
2
6
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