877 prompts matching "Structured question: quadratic formula question with a negative discriminant"
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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
Why does completing the square work
Act as my SS2 Further Maths tutor. Explain to me why the completing the square method work
Explain sum and product of roots back to me
Act as my SS2 Further Maths tutor. I'll explain the sum and product of roots formulas back
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
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
Worked example: is this line tangent to this curve
Act as my SS2 Further Maths tutor. Show me a full worked example of substituting a line's
Quiz me on line and curve intersection conditions
Act as my SS2 Further Maths tutor. Quiz me with three different line-and-curve pairs, and
Find the value of k for a line to be tangent to a curve
Act as my SS2 Further Maths tutor. Teach me how to find an unknown constant k in a line's
Explain line-curve intersection conditions back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to use the discriminan
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
Teach me long division of polynomials
Act as my SS2 Further Maths tutor. Teach me how to divide a polynomial by a polynomial of
Worked example: using the factor theorem to factorise a cubic
Act as my SS2 Further Maths tutor. Show me a full worked example of using the factor theor
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
Quiz me on solving cubic equations
Act as my SS2 Further Maths tutor. Quiz me with three cubic equations to solve completely,
Give me practice solving cubic equations
Act as my SS2 Further Maths tutor. Give me six practice cubic equations to solve completel
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
Sum and product of roots of a cubic equation
Act as my SS2 Further Maths tutor. Teach me how to find the sum and product of the roots o
Give me practice identifying compound propositions
Act as my SS2 Further Maths tutor. Give me eight sentences and ask me to classify each as