This Quadratic-Exponential Equation Looks Impossible, Until You Try This Trick.
Автор: NonsoMaths
Загружено: 2026-01-29
Просмотров: 1909
Описание:
In this math tutorial, we find all the integer solutions to the equation x² + 16x + 55 = 3^(y² − 2y), using factorization, number sense, and the properties of powers of 3 to narrow down the possibilities. This problem is a great example of how quadratic expressions and exponential functions interact in Diophantine equations, and why logical case analysis is often more powerful than brute force.
This math tutorial is ideal for students preparing for exams, math competition learners, and math enthusiasts who enjoy challenging equation solving, this video shows how to think strategically when variables appear both algebraically and inside exponents.
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