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Nicolae Coculescu
2004 Nicolae Coculescu
1
Simple eq. |x-1|+|x-a|+|x-b|=1
Simple eq. |x-1|+|x-a|+|x-b|=1
Source:
December 14, 2019
equations
algebra
Problem Statement
Find all pairs of integers
(
a
,
b
)
(a,b)
(
a
,
b
)
such that the equation
∣
x
−
1
∣
+
∣
x
−
a
∣
+
∣
x
−
b
∣
=
1
|x-1|+|x-a|+|x-b|=1
∣
x
−
1∣
+
∣
x
−
a
∣
+
∣
x
−
b
∣
=
1
has exactly one real solution. Florian Dumitrel
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