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Mathematics
Problem
If the roots of the cubic
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
are three consecutive positive integers, then the value of
a
2
b
+
1
=
\frac{a^2}{b+1} =
b
+
1
a
2
=
(a) 1 (b) 2 (c) 3 (d) 4
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