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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "IGCSE Additional Maths Y10: A quadratic in root x — Worked Example"

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Worked Example: The intersection of two overlapping sets

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Worked Example: Testing whether a binary operation is closed on a given set

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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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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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Common Mistakes: Solving an equation in which the unknown sits under a root

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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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Show All Working: Solving a logarithmic equation and rejecting the invalid root

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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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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original

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WAEC Prep: Forming an equation whose roots are each two more than the original

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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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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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Spot My Mistake: Forming an equation whose roots are alpha squared and 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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