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Further Mathematics

AI prompts for senior secondary learners.

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1,018 prompts matching "A pair with equal roots, meaning one solution only"

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

Solve x^2 - 6x - 16 = 0 with full exam working

I am in SS 3. Give me the equation x^2 - 6x - 16 = 0 as an Additional Maths exam question

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Solve x^2 + 13x + 40 = 0 with full exam working

I am in SS 3. Give me the equation x^2 + 13x + 40 = 0 as an Additional Maths exam question

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Solve 2x^2 - 5x - 12 = 0 with full exam working

I am in SS 3. Give me the equation 2x^2 - 5x - 12 = 0 as an Additional Maths exam question

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Solve 5x^2 + 13x - 6 = 0 with full exam working

I am in SS 3. Give me the equation 5x^2 + 13x - 6 = 0 as an Additional Maths exam question

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Solve x^2 - 2x - 35 = 0 with full exam working

I am in SS 3. Give me the equation x^2 - 2x - 35 = 0 as an Additional Maths exam question

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Solve 4x^2 - 12x + 5 = 0 with full exam working

I am in SS 3. Give me the equation 4x^2 - 12x + 5 = 0 as an Additional Maths exam question

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Solve x^2 + 7x - 18 = 0 with full exam working

I am in SS 3. Give me the equation x^2 + 7x - 18 = 0 as an Additional Maths exam question

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Solve 3x^2 + x - 14 = 0 with full exam working

I am in SS 3. Give me the equation 3x^2 + x - 14 = 0 as an Additional Maths exam question

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Solve 5^(x+2) = 125^(x-1) with full working

I am in SS 3. Give me the exponential equation 5^(x+2) = 125^(x-1) as a structured questio

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Solve log2(x+1) + log2(x-1) = 3 with full working

I am in SS 3. Give me the logarithmic equation log2(x+1) + log2(x-1) = 3 as a structured e

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Give me a past-paper style question bank for sum and product of roots

I am in SS 3. Give me a bank of four exam-style questions on sum and product of roots, ran

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Give me a past-paper style question bank for quadratic inequalities

I am in SS 3. Give me a bank of four exam-style questions on solving quadratic inequalitie

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Spot my mistake: solving an exponential equation

I am in SS 3. I will show you my working for solving an exponential equation by matching b

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Structured question: find k so a cubic has a repeated root

I am in SS 3. Set me a structured question where a cubic contains an unknown k, and I must

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Structured question: circle and line with an unknown intercept

I am in SS 3. Give me a structured coordinate geometry question where a line with an unkno

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Structured question: trig equation with a coefficient inside the angle

I am in SS 3. Give me a structured trigonometric equation question where the angle inside

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Structured question: two quadratics sharing a common root

I am in SS 3. Give me a structured question where two quadratic equations are given and I

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Structured question: polynomial with a given remainder pattern

I am in SS 3. Give me a structured polynomial question where a cubic leaves stated remaind

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Structured question: cubic equation from three given roots

I am in SS 3. Set me a structured question where I am given all three roots of a cubic equ

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Structured question: logarithmic inequality

I am in SS 3. Set me a structured question solving a simple logarithmic inequality, and ch

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