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Mathematics
Problem
For the quadratic equation
x
2
+
(
2
k
+
1
)
x
+
k
(
k
−
3
)
=
0
x^{2}+(2k+1)x+k(k-3)=0
x
2
+
(
2
k
+
1
)
x
+
k
(
k
−
3
)
=
0
, determine the value(s) of
k
k
k
for which the equation has equal real roots. Show all working. a. (i) Express the discriminant in terms of
k
k
k
. b. (ii) Hence find the required value(s) of
k
k
k
.
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