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1999 Harvard-MIT Mathematics Tournament
7
1999 Advanced Topics #7: Find a Quadratic
1999 Advanced Topics #7: Find a Quadratic
Source:
June 21, 2012
quadratics
geometry
3D geometry
Problem Statement
Find an ordered pair
(
a
,
b
)
(a,b)
(
a
,
b
)
of real numbers for which
x
2
+
a
x
+
b
x^2+ax+b
x
2
+
a
x
+
b
has a non-real root whose cube is
343
343
343
.
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