773 prompts matching "Practice: Why complex roots of a real quadratic come in conjugate pairs"
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Solve the logarithmic equation log5(x+3) + log5(2) = 2
Act as my SS2 Further Maths tutor. Show me step by step how to solve log5(x+3) + log5(2) =
Worked example: differentiate y = 3x^4 - 2x^3 + x - 7
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Worked example: differentiate y = (2x-1)(x+3) after expanding it first
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Worked example: simplify (3+2i) + (1-5i)
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Worked example: simplify (2+i)(3-4i)
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Worked example: simplify (4+3i)/(1-2i)
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Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]
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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
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Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]
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Worked example: how many ways can 5 books be arranged on a shelf
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Worked example: how many ways can a president and secretary be chosen from 8 people
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Worked example: in how many ways can 6 people be seated around a circular table
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Worked example: expand (x+2)^5 fully using the binomial theorem
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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places
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Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4
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Non-calculator paper: factorise and simplify a fraction
Set me a non-calculator Additional Maths style question where I must factorise both the nu
Mark scheme walkthrough: factorising a trinomial
I am in SS 2. Walk me through a Cambridge-style mark scheme for factorising a quadratic tr
Spot the examiner's trick in a factorisation question
I am in SS 2. Give me a quadratic equation exam question that has a common trap, such as a
Express in the form command word: completing the square
Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+
Deduce command word: minimum value from completed square
I am in SS 2. Explain the command word 'deduce' with an example where completing the squar