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Mathematics
Mathematics
Problem
Find the number of integral values of
k
k
k
for which
e
λ
2
−
2
λ
+
1
+
ln
3
e^{\lambda^2 - 2\lambda + 1 + \ln 3}
e
λ
2
−
2
λ
+
1
+
l
n
3
and
e
−
(
λ
2
−
2
λ
+
1
)
+
ln
2
e^{-(\lambda^2 - 2\lambda + 1) + \ln 2}
e
−
(
λ
2
−
2
λ
+
1
)
+
l
n
2
, where
λ
∈
R
−
{
1
}
\lambda \in \mathbb{R} - \{1\}
λ
∈
R
−
{
1
}
are the roots of the equation
x
2
−
(
3
k
+
1
)
x
+
3
k
2
−
k
+
2
=
0
x^2 - (3k + 1)x + 3k^2 - k + 2 = 0
x
2
−
(
3
k
+
1
)
x
+
3
k
2
−
k
+
2
=
0
. A 1 B 2 C 3 D 0
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