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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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851 prompts matching "solving a quadratic with complex roots"

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Common Mistakes: Solving an exponential equation using logarithms

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Explain Back: The range of values of k for which the roots are real

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Common Mistakes: Proving that a quadratic expression is positive for every real x

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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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Show All Working: Solving a cubic equation by factorisation

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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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Explain Back: Forming a cubic equation whose three roots are given

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Show All Working: Three roots in arithmetic progression in a cubic

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Common Mistakes: Three roots in geometric progression in a cubic

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Explain Back: Solving an inequality that involves a modulus

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Show All Working: Solving a pair of simultaneous linear inequalities

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Explain Back: Choosing a committee with a stated number from each of two groups

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Final Revision: Combinations used with the addition and multiplication principles

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Worked Example: Solving cos x equals a negative value, and finding both solutions

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Practice: Solving an equation of the form sin of 2x equals a given value

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Show All Working: Solving a cos x plus b sin x equals c by the R method

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Practice: The equation of a line through a point with a given gradient

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Learn: The equation of a circle with its centre at the origin

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