Can You Solve This Rational Equation? Many Failed!
Автор: NonsoMaths
Загружено: 2026-02-09
Просмотров: 749
Описание:
Struggling with complex rational equations? In this in-depth algebra tutorial, I solve the challenging equation 1/(x²+11x-8) + 1/(x²+2x-8) + 1/(x²-13x-8) = 0. I'll show you a powerful problem-solving technique using a clever substitution. We let A = x² + 7x - 8 to rewrite all three denominators, which simplifies the equation dramatically and reveals a clear path forward. By combining the fractions and simplifying, we reduce the entire problem to solving two simpler quadratic equations: x² + 7x - 8 = 0 and x² + 7x - 8 = 4x. This method is perfect for algebra 2, pre-calculus, and math competition students looking to master advanced simplification strategies for rational expressions.
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#matholympiad #maths #algebra
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