1,000 prompts matching "Forming an equation whose roots are alpha squared and beta squared"
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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
Quiz me: solving quadratics by factorisation
Act as my SS2 Further Maths tutor. Quiz me with five quadratic equations to solve by facto
Explain the factorisation method back to me
Act as my SS2 Further Maths tutor. Let me explain to you, in my own words, how to solve a
Teach me the deriving the quadratic formula
You are my SS2 Further Mathematics tutor. Teach me deriving the quadratic formula, in clea
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
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Spot my mistake in a linear-quadratic system
Act as my SS2 Further Maths tutor. I tried substituting my linear equation into the quadra
Teach me collecting like terms across two polynomials
You are my SS2 Further Mathematics tutor. Teach me collecting like terms across two polyno
Worked example: adding two polynomials
Act as my SS2 Further Maths tutor. Show me a full worked example of adding two polynomials
Worked example: subtracting two polynomials
Act as my SS2 Further Maths tutor. Show me a full worked example of subtracting one polyno
Teach me the stating the remainder theorem
You are my SS2 Further Mathematics tutor. Teach me stating the remainder theorem, in clear
Teach me the stating the factor theorem
You are my SS2 Further Mathematics tutor. Teach me stating the factor theorem, in clear st
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 the truth table of p implies q
You are my SS2 Further Mathematics tutor. Teach me the truth table of p implies q, in clea
Spot my mistake testing logical equivalence
Act as my SS2 Further Maths tutor. I compared the truth tables of two propositions to test
Teach me predicate logic basics
Act as my SS2 Further Maths tutor. Teach me the basics of predicate logic, including what
Quiz me on simplifying surds
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WAEC question on logarithms
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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
Quiz me on coordinate geometry basics
Act as my SS2 Further Maths tutor. Quiz me with five coordinate geometry questions coverin