1,044 prompts matching "Practice: The condition for a quadratic equation to have equal roots"
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Teach me conditionals versus tautologies
Act as my SS2 Further Maths tutor. Teach me the difference between a conditional statement
Give me practice identifying tautologies
Act as my SS2 Further Maths tutor. Give me six compound propositions and ask me to constru
Quiz me on arranging objects round a circle when two must sit together
Act as my SS2 Further Mathematics tutor and quiz me on arranging objects round a circle wh
Give me practice on probability using combinatorics
Act as my SS2 Further Maths tutor. Give me six practice probability problems that must be
Teach me the binomial expansion formula
Act as my SS2 Further Maths tutor. Teach me the general binomial expansion formula using c
Worked example: expanding (2x-3)^5 using the binomial formula
Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (2x-3)^5 usi
Give me practice on the binomial theorem
Act as my SS2 Further Maths tutor. Give me eight practice questions covering Pascal's tria
Explain the binomial theorem back to me
Act as my SS2 Further Maths tutor. I'll explain the binomial expansion formula and how to
Teach me the equation of a straight line
Act as my SS2 Further Maths tutor. Teach me how to find the equation of a straight line gi
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
Worked example: finding the angle between two vectors
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the angle betw
Give me practice on vectors
Act as my SS2 Further Maths tutor. Give me six practice questions on vector addition, magn
Create a revision plan for the binomial theorem
Act as my SS2 Further Maths tutor. Help me create a short revision plan for the binomial t
Create a revision plan for vectors
Act as my SS2 Further Maths tutor. Help me create a short revision plan for vectors, break
Summarise the binomial theorem for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Summarise vectors for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Test me under exam conditions on trigonometric identities and equations
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on tr
Quiz me on the whole term's Further Maths topics
Act as my SS2 Further Maths tutor. Quiz me with one question from each major topic I've co
Solve the logarithmic equation log2(x) + log2(x-2) = 3
Act as my SS2 Further Maths tutor. Show me step by step how to solve log2(x) + log2(x-2) =
Solve the logarithmic equation log(x+1) - log(x-1) = 2
Act as my SS2 Further Maths tutor. Show me step by step how to solve log(x+1) - log(x-1) =