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Tie 2
2021 BMT Algebra Tiebreaker #2
2021 BMT Algebra Tiebreaker #2
Source:
March 10, 2024
algebra
Problem Statement
Real numbers
x
x
x
and
y
y
y
satisfy the equations
x
2
−
12
y
=
1
7
2
x^2 - 12y = 17^2
x
2
−
12
y
=
1
7
2
and
38
x
−
y
2
=
2
⋅
7
3
38x - y^2 = 2 \cdot 7^3
38
x
−
y
2
=
2
⋅
7
3
. Compute
x
+
y
x + y
x
+
y
.
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