1,018 prompts matching "When Lami's theorem may be used, and when it may not"
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Complete the square for x^2 - 10x + 21 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 - 10x + 21 = 0 by
Complete the square for x^2 + 3x - 4 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + 3x - 4 = 0 by c
Complete the square for 3x^2 + 6x - 2 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve 3x^2 + 6x - 2 = 0 by
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
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
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
Quiz me on checking both pairs of solutions of a linear-quadratic pair
Act as my SS2 Further Maths tutor. Quiz me with three pairs of simultaneous equations, eac
Give me practice on simultaneous equations
Act as my SS2 Further Maths tutor. Give me six practice problems on simultaneous equations
Spot my mistake in a linear-quadratic system
Act as my SS2 Further Maths tutor. I tried substituting my linear equation into the quadra
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
Give me practice on tangent lines to curves
Act as my SS2 Further Maths tutor. Give me five practice questions on finding the conditio
Teach me what a polynomial is
Act as my SS2 Further Maths tutor. Teach me the definition of a polynomial, including term
Quiz me on polynomial division by a quadratic divisor
Act as my SS2 Further Maths tutor. Quiz me with four polynomial division by a quadratic di
Explain polynomial long division back to me
Act as my SS2 Further Maths tutor. I'll explain the steps of polynomial long division back
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
Teach me the truth table for negation
Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for negation
Teach me the truth table for conjunction
Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for conjuncti
Teach me the truth table for disjunction
Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for disjuncti
Quiz me on why negation reverses every truth value
Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val
Quiz me on the inclusive sense of 'or' in a disjunction
Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val