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Further Mathematics

AI prompts for senior secondary learners.

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468 prompts matching "solving a quadratic with complex roots"

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Common Mistakes: Writing a root as a fractional index before simplifying

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Worked Example: Solving an indicial equation where one side must be factorised first

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Practice: Solving 2 to the power x equals 32

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Explain Back: An indicial equation with the unknown in the exponent on both sides

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Show All Working: Solving a simple logarithmic equation

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Common Mistakes: Rejecting a root that makes a logarithm undefined

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Common Mistakes: A logarithmic equation that becomes a quadratic

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Practice: Finding the nth term of a quadratic sequence

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Common Mistakes: An arithmetic progression with a negative common difference

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Spot My Mistake: The sum of an arithmetic progression with a negative common difference

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WAEC Prep: A geometric progression with a negative common ratio

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Show All Working: A geometric progression with a fractional common ratio

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Explain Back: The sum of a geometric progression with a negative common ratio

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Explain Back: Solving a linear inequality that contains brackets

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Worked Example: The critical values of a quadratic inequality

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Practice: Using a table of signs to solve a quadratic inequality

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Explain Back: The solution when the quadratic expression is greater than nought

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Show All Working: Writing a quadratic solution set in interval form

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Common Mistakes: A quadratic inequality that has to be rearranged first

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Worked Example: Solving the equation modulus of x equals a

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