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min of T = x^3 + y^3 when 44 | x^2 + y^2 (HOMC 2017 S Q7 )
min of T = x^3 + y^3 when 44 | x^2 + y^2 (HOMC 2017 S Q7 )
Source:
September 8, 2019
number theory
divisible
minimum
Problem Statement
Let two positive integers
x
,
y
x, y
x
,
y
satisfy the condition
44
/
(
x
2
+
y
2
)
44 /( x^2 + y^2)
44/
(
x
2
+
y
2
)
. Determine the smallest value of
T
=
x
3
+
y
3
T = x^3 + y^3
T
=
x
3
+
y
3
.
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