Can You Solve This TRICKY System Of Nonlinear Equations?
Автор: NonsoMaths
Загружено: 2025-08-07
Просмотров: 518
Are you struggling with simultaneous equations? Do you know how to solve simultaneous nonlinear equations? I'd like to help you with that. In this math tutorial, we solve a system of nonlinear equations:
x + xy + xy² = 35 and
x² + x²y² + x²y⁴ = 525,
using clever algebraic manipulation. First, we factorise both equations, then we reduce the second equation to a simpler form: x - xy + xy² = 15, and then subtract it from the first to eliminate terms and obtain xy = 10. From there, we substitute y = 10/x into the original equation, solve the resulting quadratic equation, and find the values of both x and y.
This problem showcases how strategic simplification and substitution can turn complex-looking equations into solvable steps. Ideal for high school students, A-level candidates, math Olympiad learners, and anyone who enjoys challenging algebra problems explained clearly
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#matholympiad #mathtutorial #algebra
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