773 prompts matching "Practice: Why complex roots of a real quadratic come in conjugate pairs"
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Solve x^2 + x - 12 = 0 by factorisation
Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio
WAEC question on maximum and minimum values from curves
Act as my SS2 Further Maths tutor. Give me a WAEC Further Mathematics style question about
Worked example: solving x^3-6x^2+11x-6=0
Act as my SS2 Further Maths tutor. Show me a complete worked example of solving the cubic
Spot my mistake solving a cubic equation
Act as my SS2 Further Maths tutor. I found one root of my cubic equation correctly but I t
Give me memory tricks for Further Maths formulas
Act as my SS2 Further Maths tutor. Give me memory tricks or mnemonics to help me remember
Multi-part exam question on factorising trinomials
I am in SS 2. Give me a three-part exam-style question, (a) (b) (c), where each part asks
Discriminant classification exam question
I am in SS 2. Give me a short structured question where I must use the discriminant to sta
Worked example: factorising a harder trinomial
Act as my SS2 Further Maths tutor. Show me a full worked example of factorising a quadrati
Quiz me on completing the square to find a turning point
Act as my SS2 Further Maths tutor. Quiz me with four quadratic equations that I must solve
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
Worked example: using the factor theorem to factorise a cubic
Act as my SS2 Further Maths tutor. Show me a full worked example of using the factor theor
Teach me how to solve cubic equations
Act as my SS2 Further Maths tutor. Teach me how to solve a cubic equation by first using t
Spot my mistake in a combinatorial probability problem
Act as my SS2 Further Maths tutor. I calculated a probability using combinations but I thi
Worked example: simplifying an expression with fractional indices
Act as my SS2 Further Maths tutor. Show me a full worked example of simplifying an express
Worked example: finding where a line meets a circle
Act as my SS2 Further Maths tutor. Show me a full worked example of finding where a straig
Spot my mistake finding a vector's magnitude
Act as my SS2 Further Maths tutor. I calculated the magnitude of a vector but I think I ma
Spot my mistake calculating standard deviation
Act as my SS2 Further Maths tutor. I calculated the standard deviation of a data set but I
Structured question: complete the square then find the minimum
I am in SS 2. Give me a two-part structured question where I first complete the square for
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
Find alpha squared plus beta squared using sum and product
I am in SS 2. Give me an Additional Maths style question where I know alpha+beta and alpha