Magic Masala Maths | Number theory | Quadratic equation | USAMO 2015 | Easy solution | 015
Problem statement:
Problem statement:
Solve for integral solution.
\[ x^2+xy+y^2 = \left(\frac{x+y}{3}+1\right)^3. \]
0:00 Approach description
0:25 Substitution 1
0:50 Computing discriminant
1:24 Non-trivial solution
1:39 Solving for x
1:50 Substitution 2
2:11 Conclusion
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