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2013 JBMO Shortlist
2
Maximum value
Maximum value
Source: JBMO 2013 Shortlist
May 15, 2016
algebra
Problem Statement
A2
\boxed{\text{A2}}
A2
Find the maximum value of
∣
x
2
+
4
x
+
8
−
x
2
+
8
x
+
17
∣
|\sqrt{x^2+4x+8}-\sqrt{x^2+8x+17}|
∣
x
2
+
4
x
+
8
−
x
2
+
8
x
+
17
∣
where
x
x
x
is a real number.
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