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2017 Junior Regional Olympiad - FBH
3
Junior Regional Olympiad - FBH 2017 Grade 8 Problem 3
Junior Regional Olympiad - FBH 2017 Grade 8 Problem 3
Source:
September 20, 2018
equation
square root
Problem Statement
Find all real numbers
x
x
x
such that:
x
−
7
2015
+
x
−
6
2016
+
x
−
5
2017
=
x
−
2015
7
+
x
−
2016
6
+
x
−
2017
5
\sqrt{\frac{x-7}{2015}}+\sqrt{\frac{x-6}{2016}}+\sqrt{\frac{x-5}{2017}}=\sqrt{\frac{x-2015}{7}}+\sqrt{\frac{x-2016}{6}}+\sqrt{\frac{x-2017}{5}}
2015
x
−
7
+
2016
x
−
6
+
2017
x
−
5
=
7
x
−
2015
+
6
x
−
2016
+
5
x
−
2017
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