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Mathematics
Problem
Show that the quadratic equation
x
2
+
(
k
+
5
)
x
+
(
k
+
1
)
=
0
x^{2} + (k+5)x + (k+1) = 0
x
2
+
(
k
+
5
)
x
+
(
k
+
1
)
=
0
possesses two distinct real roots for every real value of
k
k
k
.
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