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Hanoi Open Mathematics Competition
2006 Hanoi Open Mathematics Competitions
4
HOMC Junior
HOMC Junior
Source: HOMC
February 9, 2019
algebra
homc
Problem Statement
For any real numbers
x
,
y
x,y
x
,
y
that satisfies the equation
x
+
y
−
x
y
=
155
x+y-xy=155
x
+
y
−
x
y
=
155
and
x
2
+
y
2
=
325
x^2+y^2=325
x
2
+
y
2
=
325
, Find
∣
x
3
−
y
3
∣
|x^3-y^3|
∣
x
3
−
y
3
∣
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