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Mathematics
Mathematics
Problem
If
R
R
R
is the least value of
a
a
a
such that the function
f
(
x
)
=
x
2
+
a
x
+
1
f(x)=x^2+ax+1
f
(
x
)
=
x
2
+
a
x
+
1
is increasing on
[
1
,
2
]
[1,2]
[
1
,
2
]
and
S
S
S
is the greatest value of
a
a
a
such that the function
f
(
x
)
=
x
2
+
a
x
+
1
f(x)=x^2+ax+1
f
(
x
)
=
x
2
+
a
x
+
1
is decreasing on
[
1
,
2
]
[1,2]
[
1
,
2
]
, then the value of
∣
R
−
S
∣
|R-S|
∣
R
−
S
∣
is.
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