791 prompts matching "Solve x^2 - 6x - 16 = 0 with full exam working"
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Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve tan(x) = -1, for 0 <=
Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve 3sin(x) - 1 = 0, for
Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve cos^2(x) - sin^2(x) =
Multi-part exam question on factorising trinomials
I am in SS 2. Give me a three-part exam-style question, (a) (b) (c), where each part asks
Spot the examiner's trick in a factorisation question
I am in SS 2. Give me a quadratic equation exam question that has a common trap, such as a
Structured question: quadratic formula with exact surd answer
I am in SS 2. Give me a quadratic formula question where the answer must be left as an exa
Discriminant classification exam question
I am in SS 2. Give me a short structured question where I must use the discriminant to sta
Structured question: new equation with roots 1/alpha and 1/beta
I am in SS 2. Set me a multi-part question where I first find the sum and product of the r
Structured question: solve a quadratic inequality and state the range
I am in SS 2. Give me a structured Cambridge Additional Maths question asking me to solve
Show all your working command word: simultaneous equations
I am in SS 2. Set me a linear-quadratic simultaneous equations question that instructs 'sh
Practice: Working through a quadratic by completing the square, step by step
Act as my SS2 Further Mathematics tutor. Give me five practice questions on working throug
Quiz: Finding the sum and the product without solving the equation
Act as my SS2 Further Mathematics tutor and quiz me on finding the sum and the product wit
Spot My Mistake: A pair with equal roots, meaning one solution only
Act as my SS2 Further Mathematics tutor. Work a question on a pair with equal roots, meani
Common Mistakes: A line and a curve meeting once without the line being a tangent
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a l
Explain Back: A polynomial with a repeated linear factor
I have just studied a polynomial with a repeated linear factor in my SS2 Further Mathemati
Common Mistakes: Factorising fully, and knowing when to stop
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on fac
Quiz: A cubic with three distinct real roots
Act as my SS2 Further Mathematics tutor and quiz me on a cubic with three distinct real ro
Explain Back: A cubic with a repeated root
I have just studied a cubic with a repeated root in my SS2 Further Mathematics class. Let
Explain Back: The truth table for a statement with two connectives
I have just studied the truth table for a statement with two connectives in my SS2 Further
Quiz: Why a conditional with a false antecedent counts as true
Act as my SS2 Further Mathematics tutor and quiz me on why a conditional with a false ante