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Mathematics
Mathematics
Problem
If
f
(
x
)
=
x
3
−
12
x
+
p
f(x) = x^3 - 12x + p
f
(
x
)
=
x
3
−
12
x
+
p
;
p
∈
{
1
,
2
,
3
,
…
,
15
}
p \in \{1, 2, 3, \dots, 15\}
p
∈
{
1
,
2
,
3
,
…
,
15
}
and for each 'p', the number of real roots of equation
f
(
x
)
=
0
f(x) = 0
f
(
x
)
=
0
is denoted by
θ
\theta
θ
, the
1
5
∑
θ
\frac{1}{5} \sum \theta
5
1
∑
θ
is equal to .....
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