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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
−
2
)
x
+
(
k
2
+
3
k
+
5
)
=
0
x^2 - (k-2)x + (k^2 + 3k + 5) = 0
x
2
−
(
k
−
2
)
x
+
(
k
2
+
3
k
+
5
)
=
0
, then the maximum value of
x
1
2
+
x
2
2
x_1^2 + x_2^2
x
1
2
+
x
2
2
is : (a) 19 (b) 18 (c)
50
9
\frac{50}{9}
9
50
(d) non-existent
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