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Problem
Problem
Let
f
(
x
)
=
x
3
−
3
x
2
+
2
x
f(x) = x^3 - 3x^2 + 2x
f
(
x
)
=
x
3
−
3
x
2
+
2
x
. If the equation
f
(
x
)
=
k
f(x) = k
f
(
x
)
=
k
has exactly one positive and one negative solution, then the value of
k
k
k
equals a.
2
3
9
\frac{2\sqrt{3}}{9}
9
2
3
b.
−
2
9
-\frac{2}{9}
−
9
2
c.
2
3
3
\frac{2}{3\sqrt{3}}
3
3
2
d.
1
3
3
\frac{1}{3\sqrt{3}}
3
3
1
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