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Mathematics
Problem
The quadratic equation
x
2
+
2
(
k
−
1
)
x
+
k
=
0
x^{2}+2(k-1)x+k=0
x
2
+
2
(
k
−
1
)
x
+
k
=
0
has equal real roots. Which one of the following equations in
k
k
k
must hold true? a)
k
2
−
6
k
+
1
=
0
k^{2}-6k+1=0
k
2
−
6
k
+
1
=
0
b)
k
2
−
3
k
+
1
=
0
k^{2}-3k+1=0
k
2
−
3
k
+
1
=
0
c)
k
2
+
k
+
1
=
0
k^{2}+k+1=0
k
2
+
k
+
1
=
0
d)
k
2
−
k
−
1
=
0
k^{2}-k-1=0
k
2
−
k
−
1
=
0
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