784 prompts matching "Structured question: two quadratics sharing a common root"
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Solve x^2 + x - 12 = 0 by factorisation
Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio
Give me practice on completing the square
Act as my SS2 Further Maths tutor. Give me eight practice questions on solving quadratic e
Teach me conditions for a line and a curve to intersect
Act as my SS2 Further Maths tutor. Teach me how to determine whether a given straight line
Teach me how to solve cubic equations
Act as my SS2 Further Maths tutor. Teach me how to solve a cubic equation by first using t
Worked example: solving x^3-6x^2+11x-6=0
Act as my SS2 Further Maths tutor. Show me a complete worked example of solving the cubic
Spot my mistake solving a cubic equation
Act as my SS2 Further Maths tutor. I found one root of my cubic equation correctly but I t
Teach me what a complex number is
Act as my SS2 Further Maths tutor. Teach me what a complex number is, including the meanin
Give me memory tricks for Further Maths formulas
Act as my SS2 Further Maths tutor. Give me memory tricks or mnemonics to help me remember
Show all your working command word: simultaneous equations
I am in SS 2. Set me a linear-quadratic simultaneous equations question that instructs 'sh
Worked example: factorising a harder trinomial
Act as my SS2 Further Maths tutor. Show me a full worked example of factorising a quadrati
Explain the factorisation method back to me
Act as my SS2 Further Maths tutor. Let me explain to you, in my own words, how to solve a
Teach me the completing the square when the coefficient of x squared is one
You are my SS2 Further Mathematics tutor. Teach me completing the square when the coeffici
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
Why does completing the square work
Act as my SS2 Further Maths tutor. Explain to me why the completing the square method work
Worked example: reading the solutions as points of intersection
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on readin
Give me practice on simultaneous equations
Act as my SS2 Further Maths tutor. Give me six practice problems on simultaneous equations
Explain substitution method back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to use the substitutio
WAEC-style simultaneous equation problem
Act as my SS2 Further Maths tutor. Set me a WAEC Further Mathematics word problem that lea
Give me practice on tangent lines to curves
Act as my SS2 Further Maths tutor. Give me five practice questions on finding the conditio
Spot my mistake finding a tangent condition
Act as my SS2 Further Maths tutor. I substituted my line into the curve equation to find w