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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,316 prompts matching "A pair that gives no real solution at all"

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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Quiz: Solving an index equation by writing both sides to the same base

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Worked Example: The discriminant, and what each of its three cases means

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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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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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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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Spot My Mistake: The relations between roots and coefficients for a quartic

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Quiz: Solving a quadratic inequality using a sign table

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WAEC Prep: Circular permutations of n objects round a table

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Worked Example: The difference between a permutation and a combination

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WAEC Prep: Pascal's triangle and the combination numbers in it

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Spot My Mistake: Solving an equation by first applying a Pythagorean identity

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WAEC Prep: Solving an equation by first applying a double angle formula

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Quiz: Finding the centre and the radius from the general equation

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Spot My Mistake: The equation of the tangent to a circle at a point on it

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Quiz: The equation of the tangent to a parabola

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Worked Example: The interquartile range of a set of ordered data

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