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Mathematics
Mathematics
Problem
Let
r
,
s
,
t
r, s, t
r
,
s
,
t
be the roots of the equation
x
3
+
a
x
2
+
b
x
+
c
=
0
x^3 + ax^2 + bx + c = 0
x
3
+
a
x
2
+
b
x
+
c
=
0
, such that
(
r
s
)
2
+
(
s
t
)
2
+
(
r
t
)
2
=
b
2
−
k
a
c
(rs)^2 + (st)^2 + (rt)^2 = b^2 - kac
(
r
s
)
2
+
(
s
t
)
2
+
(
r
t
)
2
=
b
2
−
k
a
c
, then
k
=
k =
k
=
(a) 1 (b) 2 (c) 3 (d) 4
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