One Simple TRICK Solves This Rational Equation!
Автор: NonsoMaths
Загружено: 2026-02-23
Просмотров: 195
Описание:
In this video, we solve the rational equation 1/(x² − 2x + 2) + 2/(x² − 2x + 3) = 6/(x² − 2x + 4) using a powerful substitution technique that dramatically simplifies the structure of the problem. By rewriting each denominator as (x − 1)² plus a constant and letting d = (x − 1)², the complicated expression transforms into a much cleaner rational equation that can be solved efficiently without messy expansion.
This type of nonlinear rational equation appears in advanced algebra, precalculus, and competitive math settings, and recognizing hidden quadratic patterns like (x − 1)² is a key skill for solving them quickly and confidently. If you’re preparing for exams or enjoy challenging algebra problems that reward pattern recognition over brute force, this step-by-step walkthrough will sharpen your problem-solving strategy and help you see structure where others see complexity.
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