1,319 prompts matching "IGCSE Additional Maths Y10: A logarithmic equation with the unknown in the base"
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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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Worked Example: Testing whether a binary operation is closed on a given set
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Explain Back: Finding the identity element of a binary operation
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Practice: Rationalising a denominator of the form root a
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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate
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Show All Working: Expressing a number in the form a root b
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Explain Back: The laws of logarithms for a product and for a quotient
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Worked Example: The discriminant, and what each of its three cases means
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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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Practice: Finding alpha minus beta from the sum and the product
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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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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial
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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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Worked Example: Solving a quadratic inequality by sketching the parabola
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Common Mistakes: The range of values of x for which an expression stays positive
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Worked Example: The number of arrangements of n different objects in a row
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