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Soros Olympiad in Mathematics
III Soros Olympiad 1996 - 97 (Russia)
9.9
min \sqrt{3x-2y-1}+\sqrt{2x+y+2}+\sqrt{3y-x} (III Soros Olympiad 1996-97 R3 9.9)
min \sqrt{3x-2y-1}+\sqrt{2x+y+2}+\sqrt{3y-x} (III Soros Olympiad 1996-97 R3 9.9)
Source:
May 31, 2024
algebra
inequalities
Radicals
Problem Statement
What is the smallest value that the expression
3
x
−
2
y
−
1
+
2
x
+
y
+
2
+
3
y
−
x
\sqrt{3x-2y-1}+\sqrt{2x+y+2}+\sqrt{3y-x}
3
x
−
2
y
−
1
+
2
x
+
y
+
2
+
3
y
−
x
can take?
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