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Mathematics
Mathematics
Problem
Let
x
1
x_1
x
1
and
x
2
x_2
x
2
be the real roots of the equation
x
2
−
k
x
+
(
k
2
+
7
k
+
15
)
=
0
x^2 - kx + (k^2 + 7k + 15) = 0
x
2
−
k
x
+
(
k
2
+
7
k
+
15
)
=
0
. What is the maximum value of
(
x
1
2
+
x
2
2
)
(x_1^2 + x_2^2)
(
x
1
2
+
x
2
2
)
?
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