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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,043 prompts matching "Changing the subject when the variable appears twice"

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WAEC Prep: The minimum value of a quadratic found by completing the square

Act as my SS 2 Further Mathematics teacher setting an examination question. Give me a ques

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Show All Working: Completing the square with a fractional coefficient of x

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Final Revision: Why completing the square always works

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Learn: Deriving the quadratic formula by completing the square

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Worked Example: Substituting a, b and c into the quadratic formula correctly

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Practice: Giving the roots correct to two decimal places

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Explain Back: Leaving the roots of a quadratic in surd form

I have just studied leaving the roots of a quadratic in surd form in my SS2 Further Mathem

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Show All Working: Choosing between factorising and the formula

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Common Mistakes: A sign error in the formula, and how to catch it

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Final Revision: A word problem solved with the quadratic formula

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Learn: The sum of the roots as minus b over a

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Worked Example: The product of the roots as c over a

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WAEC Prep: Checking the sum and product against the solved roots

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Common Mistakes: Roots that are reciprocals of one another

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Learn: What makes an expression in the roots symmetric

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Worked Example: The identity linking alpha squared plus beta squared to the sum and product

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Practice: The value of alpha to the fourth plus beta to the fourth

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Explain Back: The value of alpha minus beta, all squared

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Worked Example: Substituting into the quadratic and tidying up

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Practice: Finding the matching value of the second unknown

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