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Mathematics
Problem
Let
h
(
x
)
=
x
3
−
3
k
x
2
+
3
(
k
2
−
4
)
x
h(x)=x^{3}-3kx^{2}+3(k^{2}-4)x
h
(
x
)
=
x
3
−
3
k
x
2
+
3
(
k
2
−
4
)
x
. The abscissae of the local maximum and local minimum of
h
h
h
are of opposite signs when a)
∣
k
∣
>
2
|k|>2
∣
k
∣
>
2
b)
k
≠
±
2
k\neq\pm 2
k
=
±
2
c)
−
2
<
k
<
2
-2<k<2
−
2
<
k
<
2
d)
k
>
2
k>2
k
>
2
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