1,043 prompts matching "Learn: The parabola y squared equals 4ax, with its focus and directrix"
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Real-life application of the condition for a line to be tangent to a curve
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where the co
Express in the form command word: completing the square
Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+
Structured question: complete the square then find the minimum
I am in SS 2. Give me a two-part structured question where I first complete the square for
Find alpha squared plus beta squared using sum and product
I am in SS 2. Give me an Additional Maths style question where I know alpha+beta and alpha
Teach me solving quadratic inequalities
Teach me how to solve a quadratic inequality like x^2-5x+6>0 using a sketch of the curve a
Spot my mistake in a quadratic inequality solution
I am in SS 2. I will show you my working for solving a quadratic inequality. Check whether
Practice: Factorising a quadratic with a common factor taken out first
Act as my SS2 Further Mathematics tutor. Give me five practice questions on factorising a
Spot My Mistake: Completing the square when the roots are not real
Act as my SS2 Further Mathematics tutor. Work a question on completing the square when the
Final Revision: Why completing the square always works
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of w
Quiz: A negative value of b in the quadratic formula
Act as my SS2 Further Mathematics tutor and quiz me on a negative value of b in the quadra
Spot My Mistake: What the formula gives when the discriminant is nought
Act as my SS2 Further Mathematics tutor. Work a question on what the formula gives when th
Show All Working: Roots equal in magnitude but opposite in sign
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on roots equal in
Final Revision: One root twice the other, and what that gives
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of o
Spot My Mistake: The value of alpha over beta plus beta over alpha
Act as my SS2 Further Mathematics tutor. Work a question on the value of alpha over beta p
Quiz: Solving the quadratic that results from the substitution
Act as my SS2 Further Mathematics tutor and quiz me on solving the quadratic that results
Quiz: The condition for two points of intersection
Act as my SS2 Further Mathematics tutor and quiz me on the condition for two points of int
Spot My Mistake: Finding the values of c for which a line is a tangent
Act as my SS2 Further Mathematics tutor. Work a question on finding the values of c for wh
Learn: What makes an expression a polynomial
You are my personal SS2 Further Mathematics tutor. Teach me what makes an expression a pol
Quiz: The leading term and the constant term
Act as my SS2 Further Mathematics tutor and quiz me on the leading term and the constant t
Final Revision: The degree of the product of two polynomials
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of t