1,045 prompts matching "Restricting the domain so an inverse exists"
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Structured question: solve and check a quadratic equation
Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat
Hence solve command word: quadratic equations
I am in SS 2. Explain what 'hence solve' means in an exam question, using an example where
Spot My Mistake: Solving a quadratic that must be rearranged before factorising
Act as my SS2 Further Mathematics tutor. Work a question on solving a quadratic that must
Worked Example: Halving the coefficient of x and squaring it
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Worked Example: Substituting a, b and c into the quadratic formula correctly
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on substi
Common Mistakes: A sign error in the formula, and how to catch it
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a s
Final Revision: A word problem solved with the quadratic formula
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a
Common Mistakes: Roots that are reciprocals of one another
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Learn: What makes an expression in the roots symmetric
You are my personal SS2 Further Mathematics tutor. Teach me what makes an expression in th
Worked Example: The identity linking alpha squared plus beta squared to the sum and product
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on the id
Common Mistakes: A symmetric function needing the sum and product twice over
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Worked Example: Substituting into the quadratic and tidying up
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on substi
Quiz: Solving the quadratic that results from the substitution
Act as my SS2 Further Mathematics tutor and quiz me on solving the quadratic that results
Spot My Mistake: A pair with equal roots, meaning one solution only
Act as my SS2 Further Mathematics tutor. Work a question on a pair with equal roots, meani
Worked Example: The discriminant used as the test for intersection
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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Common Mistakes: Multiplying one polynomial by another
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Common Mistakes: The degree of the quotient and of the remainder
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Show All Working: Solving a cubic that must first be rearranged
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on solving a cubic
Learn: The biconditional, p if and only if q
You are my personal SS2 Further Mathematics tutor. Teach me the biconditional, p if and on