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2007 Bosnia Herzegovina Team Selection Test
3
Square root equation
Square root equation
Source: Bosnia and Herzegovina TST 2007 day 1 problem 3
May 13, 2014
algebra solved
algebra
Problem Statement
Find all
x
∈
Z
x\in \mathbb{Z}
x
∈
Z
and
a
∈
R
a\in \mathbb{R}
a
∈
R
satisfying
x
2
−
4
+
x
+
2
=
x
−
a
+
a
\sqrt{x^2-4}+\sqrt{x+2} = \sqrt{x-a}+a
x
2
−
4
+
x
+
2
=
x
−
a
+
a
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