1,024 prompts matching "Structured question: intersection of a line and a circle"
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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
Spot my mistake solving x^2-3x-10=0
Act as my SS2 Further Maths tutor. I solved x^2-3x-10=0 and got x=2 or x=-5. Check my work
Worked example: word problem leading to a quadratic
Act as my SS2 Further Maths tutor. Show me a full worked example of a word problem that le
Give me practice on completing the square
Act as my SS2 Further Maths tutor. Give me eight practice questions on solving quadratic e
Spot my mistake completing the square
Act as my SS2 Further Maths tutor. I tried to complete the square for x^2+6x+5=0 but I thi
Why does completing the square work
Act as my SS2 Further Maths tutor. Explain to me why the completing the square method work
Derive the quadratic formula
Act as my SS2 Further Maths tutor. Show me, step by step, how to derive the quadratic form
Use the quadratic formula on 2x^2 - 3x - 5 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve 2x^2 - 3x - 5 = 0 usi
Use the quadratic formula on x^2 + 4x - 7 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + 4x - 7 = 0 usin
Use the quadratic formula on 3x^2 + 5x + 1 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve 3x^2 + 5x + 1 = 0 usi
Use the quadratic formula on x^2 - 2x - 2 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 - 2x - 2 = 0 usin
Use the quadratic formula on 4x^2 - 4x - 3 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve 4x^2 - 4x - 3 = 0 usi
Use the quadratic formula on x^2 + x - 1 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + x - 1 = 0 using
Explain the quadratic formula back to me
Act as my SS2 Further Maths tutor. Let me explain the quadratic formula and how to apply i
Spot my mistake using the quadratic formula
Act as my SS2 Further Maths tutor. I used the quadratic formula on 2x^2-3x-5=0 but I think
Worked example: subtracting two polynomials
Act as my SS2 Further Maths tutor. Show me a full worked example of subtracting one polyno
Explain polynomial addition back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to add and subtract po
Give me practice on polynomial long division
Act as my SS2 Further Maths tutor. Give me six practice questions on dividing polynomials
Give me practice on the remainder theorem
Act as my SS2 Further Maths tutor. Give me eight practice questions on applying the remain
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