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Mathematics
Problem
The quadratic equation
x
2
−
2
(
k
−
2
)
x
+
(
k
+
3
)
=
0
x^{2}-2(k-2)x+(k+3)=0
x
2
−
2
(
k
−
2
)
x
+
(
k
+
3
)
=
0
is required to have two distinct positive real roots. What is the least integer value of
k
k
k
that satisfies this condition? a)
4
4
4
b)
6
6
6
c)
5
5
5
d)
3
3
3
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