1,022 prompts matching "Solving a surd equation that gives an extraneous root"
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Create flashcard questions for Further Maths topics
Act as my SS2 Further Maths tutor. Create ten flashcard-style question-and-answer pairs co
Worked example: differentiate y = 3x^4 - 2x^3 + x - 7
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: find the gradient of y = x^3 - 4x at the point where x = 2
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: simplify (3+2i) + (1-5i)
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Worked example: simplify (2+i)(3-4i)
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Worked example: simplify (4+3i)/(1-2i)
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Worked example: find the magnitude of the vector (3,4)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Worked example: find the unit vector in the direction of (6,8)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Mark scheme walkthrough: factorising a trinomial
I am in SS 2. Walk me through a Cambridge-style mark scheme for factorising a quadratic tr
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
Quiz me on quadratic inequalities
I am in SS 2. Quiz me with five short quadratic inequality questions of increasing difficu
Teach me composite functions
Teach me what a composite function fg(x) means and how to find it, using function notation
Learn: Factorising a quadratic whose coefficient of x squared is one
You are my personal SS2 Further Mathematics tutor. Teach me factorising a quadratic whose
Worked Example: Factorising a quadratic whose leading coefficient is not one
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on factor
Quiz: Factorising a difference of two squares in order to solve it
Act as my SS2 Further Mathematics tutor and quiz me on factorising a difference of two squ
Learn: Making the coefficient of x squared equal to one first
You are my personal SS2 Further Mathematics tutor. Teach me making the coefficient of x sq
Quiz: Completing the square on x squared plus 6x
Act as my SS2 Further Mathematics tutor and quiz me on completing the square on x squared
Learn: Deriving the quadratic formula by completing the square
You are my personal SS2 Further Mathematics tutor. Teach me deriving the quadratic formula