1,306 prompts matching "Changing the subject when the variable appears twice"
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Show All Working: Solving an equation written in terms of a binary operation
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Common Mistakes: A binary operation defined by arithmetic modulo n
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Worked Example: Collecting like surds in a single sum
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Final Revision: Proving that root 2 is irrational
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Worked Example: Simplifying an expression carrying both a negative and a fractional index
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Practice: Converting between index form and logarithm form
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Common Mistakes: Solving an exponential equation using logarithms
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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Final Revision: Solving a disguised quadratic by substitution
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Worked Example: Finding one over alpha plus one over beta
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Explain Back: Finding alpha squared beta plus alpha beta squared
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WAEC Prep: Forming an equation whose roots are alpha over beta and beta over alpha
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Worked Example: Evaluating a polynomial by substitution
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Practice: Factorising a cubic completely once one factor is known
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WAEC Prep: Sketching a cubic from its factorised form
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Show All Working: Solving a cubic equation by factorisation
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Common Mistakes: Adding, subtracting and multiplying two polynomials
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Explain Back: Forming a cubic equation whose three roots are given
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WAEC Prep: Finding a coefficient of a cubic given one of its roots
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Show All Working: Three roots in arithmetic progression in a cubic
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