1,044 prompts matching "Forming a new equation whose roots are the reciprocals of the original"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Solve x^2 - 3x - 10 = 0 by factorisation
Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio
Solve 3x^2 - 5x - 2 = 0 by factorisation
Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio
Solve x^2 - 6x + 9 = 0 by factorisation
Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio
Solve 2x^2 - 11x + 5 = 0 by factorisation
Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio
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
Spot my mistake finding a tangent condition
Act as my SS2 Further Maths tutor. I substituted my line into the curve equation to find w
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
Teach me what a complex number is
Act as my SS2 Further Maths tutor. Teach me what a complex number is, including the meanin
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
Word problem leading to a factorable quadratic
I am in SS 2. Set me an Additional Maths style word problem, such as one about area or con
Discriminant classification exam question
I am in SS 2. Give me a short structured question where I must use the discriminant to sta
Form a quadratic from a given sum and product
Set me a structured question: given the sum and product of the roots of a quadratic equati
Quiz me: solving quadratics by factorisation
Act as my SS2 Further Maths tutor. Quiz me with five quadratic equations to solve by facto
Worked example: word problem leading to a quadratic
Act as my SS2 Further Maths tutor. Show me a full worked example of a word problem that le
Quiz me on checking both pairs of solutions of a linear-quadratic pair
Act as my SS2 Further Maths tutor. Quiz me with three pairs of simultaneous equations, eac
Explain substitution method back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to use the substitutio
Spot my mistake in a linear-quadratic system
Act as my SS2 Further Maths tutor. I tried substituting my linear equation into the quadra
Why simultaneous linear-quadratic systems can have two solutions
Act as my SS2 Further Maths tutor. Explain to me why solving a linear equation together wi
Worked example: is this line tangent to this curve
Act as my SS2 Further Maths tutor. Show me a full worked example of substituting a line's