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Mathematics
Mathematics
Problem
The quadratic equation
x
2
+
(
3
k
−
1
)
x
+
(
k
2
−
4
k
+
2
)
=
0
x^2 + (3k-1)x + (k^2 - 4k + 2) = 0
x
2
+
(
3
k
−
1
)
x
+
(
k
2
−
4
k
+
2
)
=
0
is required to have two distinct real roots. Find all real values of
k
k
k
that satisfy this condition.
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