1,009 prompts matching "Forming an equation whose roots are each two more than the original"
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Why simultaneous linear-quadratic systems can have two solutions
Act as my SS2 Further Maths tutor. Explain to me why solving a linear equation together wi
Teach me conditions for a line and a curve to intersect
Act as my SS2 Further Maths tutor. Teach me how to determine whether a given straight line
Teach me the truth table of p if and only if q
You are my SS2 Further Mathematics tutor. Teach me the truth table of p if and only if q,
Worked example: proving two statements are logically equivalent
Act as my SS2 Further Maths tutor. Show me a full worked example of proving that two compo
Teach me the number of arrangements of n distinct objects
You are my SS2 Further Mathematics tutor. Teach me the number of arrangements of n distinc
Teach me arranging objects round a circle
You are my SS2 Further Mathematics tutor. Teach me arranging objects round a circle, in cl
Teach me Writing out Pascal's triangle row by row
You are my SS2 Further Mathematics tutor. Teach me writing out Pascal's triangle row by ro
Teach me how to the general term formula of a binomial expansion
You are my SS2 Further Mathematics tutor. Teach me the general term formula of a binomial
Quiz me on the laws of logarithms used to solve an equation
Act as my SS2 Further Maths tutor. Quiz me with five expressions that I must simplify usin
Teach me the distance and midpoint formulas
Act as my SS2 Further Maths tutor. Teach me how to find the distance between two points an
Teach me the equation of a circle
Act as my SS2 Further Maths tutor. Teach me how to find the equation of a circle given its
Teach me solving trigonometric equations
Act as my SS2 Further Maths tutor. Teach me how to solve a trigonometric equation such as
Teach me the dot product of two vectors
Act as my SS2 Further Maths tutor. Teach me how to calculate the dot product of two vector
Worked example: find the equation of the line through (2,3) and (5,9)
Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome
Worked example: find the equation of a circle with centre (2,-1) and radius 4
Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome
Show all your working command word: simultaneous equations
I am in SS 2. Set me a linear-quadratic simultaneous equations question that instructs 'sh
Quiz: Factorising a difference of two squares in order to solve it
Act as my SS2 Further Mathematics tutor and quiz me on factorising a difference of two squ
Common Mistakes: Writing down the roots once the brackets are found
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on wri
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
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