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Mathematics
Problem
Given that the equation
x
4
+
a
x
3
+
b
x
2
+
a
x
+
1
=
0
x^4 + ax^3 + bx^2 + ax + 1 = 0
x
4
+
a
x
3
+
b
x
2
+
a
x
+
1
=
0
has real roots, find minimum value of
a
2
+
b
2
a^2 + b^2
a
2
+
b
2
.
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