1,323 prompts matching "WAEC question requiring completing the square"
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Complex number arithmetic practice #4
I am in SS 3. Give me a complex number problem where z = 3 - 4i, find the conjugate and th
Complex number arithmetic practice #5
I am in SS 3. Give me a complex number problem where z1 = -2 + 3i and z2 = 1 + i, find z1
Teach me complex numbers from scratch
I am in SS 3. Teach me what a complex number is and why i is defined as the square root of
Explain why a complex number times its conjugate is real
I have just studied why a complex number times its conjugate is real in my SS3 Further Mat
Quiz me: matrices, determinants and inverses mixed
I am in SS 3. Quiz me with three short questions, one on matrix multiplication, one on a d
Quiz me: calculus differentiation rules
I am in SS 3. Quiz me with three short differentiation questions, one needing the product
Show all working: complex numbers and quadratics combined
I am in SS 3. Give me a Cambridge Additional Mathematics style question that starts with a
Show all working: calculus and stationary points multi-part
I am in SS 3. Give me a multi-part Cambridge Additional Mathematics style question: part (
Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab
You are my personal SS3 Further Mathematics tutor. Teach me reading a binary operation def
Quiz: Testing a binary operation for commutativity
Act as my SS3 Further Mathematics tutor and quiz me on testing a binary operation for comm
Practice: Testing a binary operation for associativity
Act as my SS3 Further Mathematics tutor. Give me five practice questions on testing a bina
Worked Example: Collecting like surds in a single sum
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on collec
Spot My Mistake: Squaring a bracket that contains a surd
Act as my SS3 Further Mathematics tutor. Work a question on squaring a bracket that contai
Worked Example: Simplifying an expression carrying both a negative and a fractional index
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on simpli
Practice: Converting between index form and logarithm form
Act as my SS3 Further Mathematics tutor. Give me five practice questions on converting bet
Quiz: Forming a quadratic equation whose roots are given
Act as my SS3 Further Mathematics tutor and quiz me on forming a quadratic equation whose
Worked Example: Finding one over alpha plus one over beta
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin
Quiz: Finding alpha cubed plus beta cubed
Act as my SS3 Further Mathematics tutor and quiz me on finding alpha cubed plus beta cubed
Worked Example: Evaluating a polynomial by substitution
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on evalua
Practice: Factorising a cubic completely once one factor is known
Act as my SS3 Further Mathematics tutor. Give me five practice questions on factorising a