1,000 prompts matching "Forming an equation whose roots are alpha squared and beta squared"
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Spot my mistake with sum and product of roots
Act as my SS2 Further Maths tutor. I calculated the sum and product of the roots of 2x^2-5
Give me practice on simultaneous equations
Act as my SS2 Further Maths tutor. Give me six practice problems on simultaneous equations
WAEC-style simultaneous equation problem
Act as my SS2 Further Maths tutor. Set me a WAEC Further Mathematics word problem that lea
Quiz me on arrangements when some of the objects are alike
Act as my SS2 Further Mathematics tutor and quiz me on arrangements when some of the objec
Worked example: solving an equation with logarithms to the same base
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on solvin
Quiz me on the laws of logarithms used to solve an equation
Act as my SS2 Further Maths tutor. Quiz me with five expressions that I must simplify usin
Worked example: solving simultaneous equations using matrices
Act as my SS2 Further Maths tutor. Show me a full worked example of solving a pair of simu
Create a revision plan for quadratic equations
Act as my SS2 Further Maths tutor. Help me create a short revision plan for quadratic equa
Create a revision plan for trigonometric identities and equations
Act as my SS2 Further Maths tutor. Help me create a short revision plan for trigonometric
Summarise trigonometric identities and equations for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Test me under exam conditions on trigonometric identities and equations
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on tr
Give me common mistakes students make in trigonometric identities and equations
Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe
Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: find the equation of the line through (2,3) and (5,9)
Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome
Worked example: find the equation of a circle with centre (2,-1) and radius 4
Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome
Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI
Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and
Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo
Real-life application of sum and product of roots
Act as my SS2 Further Maths tutor. Explain a real-life or practical situation where sum an
Hence solve command word: quadratic equations
I am in SS 2. Explain what 'hence solve' means in an exam question, using an example where