1,186 prompts matching "IGCSE Additional Maths Y10: A simultaneous pair with no real solution — Spot My"
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Practice: The difference of two sets, A minus B
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Explain Back: The symmetric difference of two sets
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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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Explain Back: Finding the identity element of a binary operation
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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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Show All Working: Expressing a number in the form a root b
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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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Explain Back: The laws of logarithms for a product and for a quotient
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Show All Working: Solving a logarithmic equation and rejecting the invalid root
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Common Mistakes: Solving an exponential equation using logarithms
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Worked Example: The discriminant, and what each of its three cases means
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Practice: The condition for a quadratic equation to have equal roots
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Explain Back: The range of values of k for which the roots are real
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Show All Working: Solving a quadratic by completing the square
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