Скачать или смотреть Can You Solve This TRICKY System Of Nonlinear Equations?

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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