1,043 prompts matching "A binary operation that is ordinary addition in disguise"
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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
Structured question: find coordinates of intersection points
I am in SS 2. Give me a multi-part question where I solve a linear-quadratic system and th
Explain Back: The zero product rule, and why it works
I have just studied the zero product rule, and why it works in my SS2 Further Mathematics
Worked Example: Halving the coefficient of x and squaring it
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on halvin
Quiz: Completing the square on x squared plus 6x
Act as my SS2 Further Mathematics tutor and quiz me on completing the square on x squared
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
Explain Back: An answer left in surd form after completing the square
I have just studied an answer left in surd form after completing the square in my SS2 Furt
Worked Example: Substituting a, b and c into the quadratic formula correctly
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on substi
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
Practice: Giving the roots correct to two decimal places
Act as my SS2 Further Mathematics tutor. Give me five practice questions on giving the roo
Explain Back: Leaving the roots of a quadratic in surd form
I have just studied leaving the roots of a quadratic in surd form in my SS2 Further Mathem
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
Practice: Forming an equation from a given sum and product
Act as my SS2 Further Mathematics tutor. Give me five practice questions on forming an equ
Worked Example: The identity linking alpha squared plus beta squared to the sum and product
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on the id
Explain Back: The value of alpha minus beta, all squared
I have just studied the value of alpha minus beta, all squared in my SS2 Further Mathemati
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
Worked Example: Substituting into the quadratic and tidying up
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on substi
Practice: Finding the matching value of the second unknown
Act as my SS2 Further Mathematics tutor. Give me five practice questions on finding the ma
Explain Back: Writing the answers as ordered pairs
I have just studied writing the answers as ordered pairs in my SS2 Further Mathematics cla
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