1,299 prompts matching "Real-life application of sum and product of roots"
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WAEC exam question: the converse, the inverse and the contrapositive
Act as my SS3 Further Mathematics examiner. Set me an exam-standard question on the conver
Structured question: converse, inverse, and contrapositive together
I am in SS 3. Set me a structured question where, for one given conditional statement, I m
Explain back: converse and contrapositive
I am in SS 3. Let me explain in my own words the difference between the converse, the inve
Show all your working command word: permutation problem
I am in SS 3. Give me a permutation exam question that instructs 'show all your working',
Explain back: difference between permutations and combinations
I am in SS 3. Let me explain in my own words why order matters for permutations but not fo
Structured question: use Pascal's triangle to expand a binomial
I am in SS 3. Give me a structured question where I must write out the relevant row of Pas
Evaluate log5(200) using change of base
I am in SS 3. Set me a non-calculator style question to evaluate log5(200) using the chang
Structured question: line through (1,4) and (5,-2)
I am in SS 3. Give me a structured coordinate geometry question using the points (1,4) and
Find the range of x for which y = x^3 - 3x is increasing
I am in SS 3. Give me the curve y = x^3 - 3x as a structured question asking for the range
Give me an exam formula sheet for trigonometric identities and equations
I am in SS 3. Build me a short formula sheet covering every formula I need for proving ide
Give me an exam formula sheet for sequences and series
I am in SS 3. Build me a short formula sheet covering every formula I need for arithmetic
Give me an exam formula sheet for permutations and combinations
I am in SS 3. Build me a short formula sheet covering every formula I need for permutation
Give me a past-paper style question bank for line and curve tangency conditions
I am in SS 3. Give me a bank of four exam-style questions on conditions for a line to be t
Give me a past-paper style question bank for trigonometric identities and equations
I am in SS 3. Give me a bank of four exam-style questions on proving identities and solvin
Give me a past-paper style question bank for sequences and series
I am in SS 3. Give me a bank of four exam-style questions on arithmetic and geometric prog
Give me a past-paper style question bank for permutations and combinations
I am in SS 3. Give me a bank of four exam-style questions on permutations and combinations
Spot my mistake: forming a quadratic equation from its roots
Act as my SS3 Further Mathematics tutor. Work a question on forming a quadratic equation f
Spot my mistake: checking each line of a trigonometric identity proof
I am in SS 3. I will show you my full proof of a trigonometric identity. Check each line f
Spot my mistake: geometric progression sum to infinity
I am in SS 3. I will show you my working for a sum to infinity question. Check whether I v
Worked example: solve the simultaneous system y = 2x - 1 and y = x^2 - 4
I am in SS 3. Show me a full worked example solving the linear-quadratic system y=2x-1 and