1,044 prompts matching "Structured question: logarithmic equation reducing to a quadratic"
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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
Worked example: finding the middle term of a binomial expansion
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the middle ter
Teach me approximating powers using binomial expansion
Act as my SS2 Further Maths tutor. Teach me how to use the binomial expansion to evaluate
Worked example: evaluating a power using binomial expansion
Act as my SS2 Further Maths tutor. Show me a full worked example of using the binomial exp
Quiz me on finding specific terms in expansions
Act as my SS2 Further Maths tutor. Quiz me with three binomial expansions and ask me to fi
Spot my mistake in a binomial expansion
Act as my SS2 Further Maths tutor. I expanded a binomial expression but I think I used the
Spot my mistake finding a specific term
Act as my SS2 Further Maths tutor. I tried to find the term containing x^3 in a binomial e
Teach me the laws of indices at Further Maths level
Act as my SS2 Further Maths tutor. Teach me the laws of indices at the depth needed for Fu
Quiz me on simplifying surds
Act as my SS2 Further Maths tutor. Quiz me with five surd expressions to simplify, and che
Spot my mistake simplifying a surd
Act as my SS2 Further Maths tutor. I tried to simplify sqrt(50) but I'm not confident in m
Teach me the laws of logarithms
Act as my SS2 Further Maths tutor. Teach me the laws of logarithms, including the product,
Teach me changing the base of a logarithm
Act as my SS2 Further Maths tutor. Teach me the change of base formula for logarithms and
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 basic trigonometric identities
Act as my SS2 Further Maths tutor. Teach me the basic trigonometric identities, including
Worked example: proving a trigonometric identity
Act as my SS2 Further Maths tutor. Show me a full worked example of proving a trigonometri
Quiz me on trigonometric identities
Act as my SS2 Further Maths tutor. Quiz me with four trigonometric identities that I must
Teach me arithmetic progressions
Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t
Teach me geometric progressions
Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t
Worked example: finding a term in an arithmetic progression
Act as my SS2 Further Maths tutor. Show me a full worked example of finding a specific ter
Spot my mistake in a geometric progression
Act as my SS2 Further Maths tutor. I calculated the sum of the first eight terms of a geom