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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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313 prompts matching "Solving a disguised quadratic by substitution"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Solve the logarithmic equation log(x+1) - log(x-1) = 2

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Solve the logarithmic equation 2log(x) = log(x+6) + log(4)

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Solve the logarithmic equation log3(x^2) - log3(x+2) = 1

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Solve the logarithmic equation log5(x+3) + log5(2) = 2

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Discriminant classification exam question

I am in SS 2. Give me a short structured question where I must use the discriminant to sta

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WAEC-style factorisation question

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Worked example: factorising a harder trinomial

Act as my SS2 Further Maths tutor. Show me a full worked example of factorising a quadrati

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Complete the square for x^2 + 6x + 5 = 0

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Complete the square for x^2 - 4x - 1 = 0

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Complete the square for x^2 + 8x + 10 = 0

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Complete the square for 2x^2 + 4x - 3 = 0

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Complete the square for x^2 - 10x + 21 = 0

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Complete the square for x^2 + 3x - 4 = 0

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Complete the square for 3x^2 + 6x - 2 = 0

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Quiz me on completing the square to find a turning point

Act as my SS2 Further Maths tutor. Quiz me with four quadratic equations that I must solve

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Why does completing the square work

Act as my SS2 Further Maths tutor. Explain to me why the completing the square method work

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Discriminant and the nature of roots

Act as my SS2 Further Maths tutor. Teach me how to use the discriminant b^2-4ac from the q

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Find sum and product of roots of 2x^2 - 5x + 3 = 0

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Find sum and product of roots of x^2 + 4x - 12 = 0

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Find sum and product of roots of 3x^2 + 7x - 6 = 0

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