318 prompts matching "Explain-back: what a matrix inverse actually does"
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Spot my mistake solving x^2-3x-10=0
Act as my SS2 Further Maths tutor. I solved x^2-3x-10=0 and got x=2 or x=-5. Check my work
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
Complete the square for x^2 + 6x + 5 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + 6x + 5 = 0 by c
Complete the square for x^2 - 4x - 1 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 - 4x - 1 = 0 by c
Complete the square for x^2 + 8x + 10 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + 8x + 10 = 0 by
Complete the square for 2x^2 + 4x - 3 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve 2x^2 + 4x - 3 = 0 by
Complete the square for x^2 - 10x + 21 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 - 10x + 21 = 0 by
Complete the square for x^2 + 3x - 4 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + 3x - 4 = 0 by c
Complete the square for 3x^2 + 6x - 2 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve 3x^2 + 6x - 2 = 0 by
Worked example: reading the solutions as points of intersection
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on readin
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
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
Divide a polynomial by a quadratic
Act as my SS2 Further Maths tutor. Show me a worked example of dividing a polynomial of de
Teach me compound statement symbols
Act as my SS2 Further Maths tutor. Teach me the standard symbols used for compound stateme
Spot my mistake identifying a compound statement symbol
Act as my SS2 Further Maths tutor. I identified the symbol used in a compound statement bu
Worked example: truth table for a compound statement
Act as my SS2 Further Maths tutor. Show me a full worked example of constructing the truth
Teach me biconditional propositions
Act as my SS2 Further Maths tutor. Teach me what a biconditional proposition is, using the
Teach me conditionals versus tautologies
Act as my SS2 Further Maths tutor. Teach me the difference between a conditional statement
Teach me predicate logic basics
Act as my SS2 Further Maths tutor. Teach me the basics of predicate logic, including what
Give me practice on permutations and combinations
Act as my SS2 Further Maths tutor. Give me ten mixed practice questions on permutations an