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Mathematics
Problem
The quadratic equation
x
2
+
(
k
−
5
)
x
+
k
=
0
x^2+(k-5)x+k=0
x
2
+
(
k
−
5
)
x
+
k
=
0
has real roots whose sum is
5
5
5
. Determine all real values of
k
k
k
that satisfy this condition.
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