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2019 BMT Spring
3
Squares that sum to 50 (BMT 2019 Algebra #3)
Squares that sum to 50 (BMT 2019 Algebra #3)
Source:
May 4, 2019
Problem Statement
There are several pairs of integers
(
a
,
b
)
(a, b)
(
a
,
b
)
satisfying
a
2
−
4
a
+
b
2
−
8
b
=
30
a^2 - 4a + b^2 - 8b = 30
a
2
−
4
a
+
b
2
−
8
b
=
30
. Find the sum of the sum of the coordinates of all such points.
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