1,045 prompts matching "The square roots of a complex number"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Spot my mistake solving a cubic equation
Act as my SS2 Further Maths tutor. I found one root of my cubic equation correctly but I t
Worked example: choosing a committee
Act as my SS2 Further Maths tutor. Show me a full worked example of using combinations to
Worked example: cyclic permutation around a table
Act as my SS2 Further Maths tutor. Show me a complete worked example of finding the number
Spot my mistake in a combinatorial probability problem
Act as my SS2 Further Maths tutor. I calculated a probability using combinations but I thi
Teach me approximating powers using binomial expansion
Act as my SS2 Further Maths tutor. Teach me how to use the binomial expansion to evaluate
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
Cambridge-style question: quadratic formula derivation
I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq
Form a quadratic from a given sum and product
Set me a structured question: given the sum and product of the roots of a quadratic equati
Cambridge-style structured question: line meets a curve
I am in SS 2. Give me a Cambridge Additional Maths structured question where I substitute
Factorise x^2 + 5x + 6
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2
Factorise x^2 - 7x + 12
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2
Factorise x^2 + 2x - 15
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2
Factorise 2x^2 + 7x + 3
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 2x^
Factorise 3x^2 - 5x - 2
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 3x^
Factorise 6x^2 + x - 12
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 6x^
Factorise x^2 - 9
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2
Factorise 4x^2 - 25
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 4x^
Factorise x^2 - x - 20
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2