Math Problem Statement
find the total number of integral solutions (a, b) of (7 โ ๐๐)^2/๐^2+b^2 = 1
Solution
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Math Problem Analysis
Mathematical Concepts
Diophantine Equations
Algebra
Integer Solutions
Formulas
(7 - ab)^2 / (a^2 + b^2) = 1
a^2b^2 - a^2 - b^2 - 14ab + 49 = 0
Theorems
Diophantine equation theory
Trial and error for integer solutions
Suitable Grade Level
Grades 10-12