Grade 11 Math Paper 1: Solve for X using the K-Method | Part 2 | iCampSA
Автор: iCampSA
Загружено: 2026-02-11
Просмотров: 47
Описание:
In this tutorial, we demonstrate the power of the K-Substitution method to simplify and solve complex radical equations. This is a classic exam question often worth 5 to 7 marks in Grade 11 and 12 Mathematics Paper 1.
What you will learn in this lesson:
Identifying the Pattern: Recognising when an equation is too complex to solve directly and requires a substitution [00:44].
Setting up K: How to "let" a repeated expression (or a square root) equal K to simplify the equation [01:06].
Rewriting the Equation: The algebraic trick to express the entire equation in terms of K only [02:43].
Solving for K: Factoring the resulting quadratic equation [08:15].
The Critical Check: Why we reject certain values of K (e.g., negative results for square roots) [10:00].
Back-substitution: Re-introducing x to find the final solutions using the quadratic formula [12:13].
Mastering the K-method is a "must-have" skill for high school algebra.
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