1,332 prompts matching "IGCSE Additional Maths Y10: An equation with a logarithm on each side — Show All"
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Worked Example: The intersection of two overlapping sets
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Practice: The difference of two sets, A minus B
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Show All Working: A three-set Venn diagram drawn from a subject survey
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Common Mistakes: Showing that intersection distributes over union
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Worked Example: Testing whether a binary operation is closed on a given set
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Practice: Testing a binary operation for associativity
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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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Practice: Rationalising a denominator of the form root a
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Show All Working: Expressing a number in the form a root b
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Show All Working: Solving a quadratic by completing the square
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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Worked Example: Finding one over alpha plus one over beta
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Show All Working: Finding a coefficient given a stated relation between the roots
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Common Mistakes: Symmetric functions when the three roots of a cubic are involved
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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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Worked Example: The sum of the products of the roots of a cubic taken two at a time
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Practice: Finding the third root of a cubic when two are known
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Show All Working: Three roots in arithmetic progression in a cubic
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