Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →851 prompts matching "solving a quadratic with complex roots"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Explain why a matrix with zero determinant has no inverse
I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi
Subscribe to unlock allComplex number arithmetic practice #1
I am in SS 3. Give me a complex number problem where z1 = 3 + 2i and z2 = 1 - 4i, find z1
Subscribe to unlock allComplex number arithmetic practice #2
I am in SS 3. Give me a complex number problem where z1 = 2 - i and z2 = 4 + 3i, find z1 x
Subscribe to unlock allComplex number arithmetic practice #3
I am in SS 3. Give me a complex number problem where z = 5 + 2i, find z divided by (1 - i)
Subscribe to unlock allComplex number arithmetic practice #4
I am in SS 3. Give me a complex number problem where z = 3 - 4i, find the conjugate and th
Subscribe to unlock allComplex 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
Subscribe to unlock allExplain 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
Subscribe to unlock allExplain equal complex numbers
I am in SS 3. Explain the condition for two complex numbers to be equal (real parts equal
Subscribe to unlock allWAEC past-question practice: complex numbers #1
I am in SS 3. Give me a WAEC Further Mathematics past-question on complex number arithmeti
Subscribe to unlock allWAEC past-question practice: complex numbers #2
I am in SS 3. Set me a WAEC-style question on finding the modulus and argument of a comple
Subscribe to unlock allTeach me the chain rule with an example
I am in SS 3. Teach me the chain rule for differentiation as if I've never used it, with o
Subscribe to unlock allExplain-back: complex conjugates
I am in SS 3. Let me explain what a complex conjugate is and why we multiply by it when di
Subscribe to unlock allTeach me how to find the writing the inverse of a two by two matrix with the adjugate
You are my SS3 Further Mathematics tutor. Teach me writing the inverse of a two by two mat
Subscribe to unlock allWAEC Further Mathematics: complex numbers and Argand diagram question
I am in SS 3. Give me a WAEC Further Mathematics style question requiring me to plot a com
Subscribe to unlock allQuiz: The complement of a set within a stated universal set
Act as my SS3 Further Mathematics tutor and quiz me on the complement of a set within a st
Subscribe to unlock allShow 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
Subscribe to unlock allPractice: Rationalising a denominator of the form root a
Act as my SS3 Further Mathematics tutor. Give me five practice questions on rationalising
Subscribe to unlock allExplain Back: Rationalising a denominator of the form a plus root b using the conjugate
I have just studied rationalising a denominator of the form a plus root b using the conjug
Subscribe to unlock allWAEC Prep: Comparing the sizes of two surds without a calculator
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Subscribe to unlock allShow All Working: Expressing a number in the form a root b
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on expressing
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