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Mathematics
Mathematics
Problem
Let
k
k
k
be a real number. The function
f
(
x
)
=
x
+
1
x
2
−
4
k
x
+
k
2
f(x)=\dfrac{x+1}{x^{2}-4kx+k^{2}}
f
(
x
)
=
x
2
−
4
k
x
+
k
2
x
+
1
is undefined at exactly one real value of
x
x
x
. Which of the following is the corresponding value of
k
k
k
? a)
k
=
1
k=1
k
=
1
b)
k
=
−
2
+
3
k=-2+\sqrt{3}
k
=
−
2
+
3
c)
k
=
0
k=0
k
=
0
d)
k
=
2
k=2
k
=
2
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