699 prompts matching "Solve log2(x+1) + log2(x-1) = 3 with full working"
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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) =
Show All Working: Completing the square with a fractional coefficient of x
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on completing the
Final Revision: A word problem solved with the quadratic formula
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a
Show All Working: Factorising a polynomial with fractional roots
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on factorising a p
Show All Working: A circular arrangement with one fixed seat such as the head
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a circular arra
Show All Working: Selecting a committee with the chairman named separately
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on selecting a com
IGCSE Additional Maths Y11: The angle a tangent makes with the x-axis — Show All Working
I am a Year 11 pupil taking Cambridge IGCSE Additional Mathematics. Set me a question on t
Quiz me on probability with combinations
Act as my SS2 Further Maths tutor. Quiz me with four probability problems that require com
Give me practice with the quadratic formula
Act as my SS2 Further Maths tutor. Give me ten practice quadratic equations to solve using
Worked example: solving an equation with logarithms to the same base
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on solvin
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
Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms
Act as my SS2 Further Maths tutor. Show me a full worked example for this sequences and se
Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms
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Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity
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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
Worked example: solve x^2+4x+13=0 giving the roots as complex numbers
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Structured question: solve and check a quadratic equation
Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat
Hence solve command word: quadratic equations
I am in SS 2. Explain what 'hence solve' means in an exam question, using an example where
Non-calculator completing the square with fractional coefficients
I am in SS 2. Set me a non-calculator completing the square question where the coefficient