1,322 prompts matching "solve x^2+4x+13=0 giving the roots as complex numbers"
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Show all working: vectors and forces combined question
I am in SS 3. Give me a mechanics-and-vectors style question where I must resolve a force
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 (
Teach me Cramer's rule from first principles
I am in SS 3. Teach me Cramer's rule as if I've never seen it before, starting from why de
Show All Working: A three-set Venn diagram drawn from a subject survey
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on a three-se
Common Mistakes: Showing that intersection distributes over union
Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos
Quiz: Testing a binary operation for commutativity
Act as my SS3 Further Mathematics tutor and quiz me on testing a binary operation for comm
WAEC Prep: Completing a Cayley table for an operation on a small set
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Show All Working: Solving an equation written in terms of a binary operation
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving an
Common Mistakes: A binary operation defined by arithmetic modulo n
Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos
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
Common Mistakes: Solving an exponential equation using logarithms
Act as my WAEC Further Mathematics coach. I am in SS 3. Show me the mistake candidates mos
Common Mistakes: Proving that a quadratic expression is positive for every real x
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Final Revision: Solving a disguised quadratic by substitution
Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.
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
Explain Back: Finding alpha squared beta plus alpha beta squared
I have just studied finding alpha squared beta plus alpha beta squared in my SS3 Further M
Worked Example: Evaluating a polynomial by substitution
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on evalua