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Soros Olympiad in Mathematics
IV Soros Olympiad 1997 - 98 (Russia)
11.9
0< a <=b <= c, a+b+ c = 7, abc = 9. (IV Soros Olympiad 1997-98 R3 11.9)
0< a <=b <= c, a+b+ c = 7, abc = 9. (IV Soros Olympiad 1997-98 R3 11.9)
Source:
June 2, 2024
algebra
inequalities
Problem Statement
The numbers
a
a
a
,
b
b
b
and
c
c
c
satisfy the conditions
0
<
a
≤
b
≤
c
,
a
+
b
+
c
=
7
,
a
b
c
=
9.
0 < a \le b \le c\,\,\,,\,\,\, a+b+ c = 7\,\,\,, \,\,\,abc = 9.
0
<
a
≤
b
≤
c
,
a
+
b
+
c
=
7
,
ab
c
=
9.
Within what limits can each of the numbers
a
a
a
,
b
b
b
and
c
c
c
vary?
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