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This video explains how to find the solutions of a Diophantine equation n^2-6n=m^2+m-10. British Mathematical Olympiad A challenging Diophantine equation How to find integer solutions Find integers satisfying equations Find all integer solutions Find all integers satisfying equations Solve Diophantine equations Solving Diophantine equations Solving Diophantine equations using factorisation and completing the square methods For more questions, solutions, tips and methods like this, please visit Maths Enhancer's Class: / @mathsenhancersclass Recommended playlists: {Maths Olympiad} • Maths Olympiad {Diophantine equations} • Diophantine equations #MathsEnhancer #MathematicalOlympiad #MathematicalCompetition #ChallengingMathematicsProblems #MathematicsCompetition #EnhanceMathematicsProblemSolvingSkills #Mathematics #ImproveMathematicsGrades Mathematical challenges Math Olympiad challenges Challenging mathematics problems Enhance mathematics problem solving skills Mathematical competition questions Mathematics competition questions Improve mathematics grades Olympics math Olympics maths Olympics mathematics Olympics math competition Math Olympiad training International Mathematical Olympiad questions and solutions International Mathematical Olympiad questions and answers How to solve Olympiad question How to solve International Mathematical Olympiad question How to solve Olympiad Mathematics Question How to prepare for Maths Olympiad How to prepare for Math Olympiad Olympiad mathematics competition Math Olympiad