1,316 prompts matching "Non-calculator completing the square with fractional coefficients"
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Explain Back: The range of values of k for which the roots are real
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Practice: Finding alpha minus beta from the sum and the product
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Common Mistakes: Symmetric functions when the three roots of a cubic are involved
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Worked Example: The sum of the products of the roots of a cubic taken two at a time
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Practice: Finding the third root of a cubic when two are known
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Worked Example: Solving a quadratic inequality by sketching the parabola
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Common Mistakes: The range of values of x for which an expression stays positive
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Worked Example: The number of arrangements of n different objects in a row
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Practice: Arrangements when some of the objects are identical
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Explain Back: Arrangements in which two particular objects must stay together
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Show All Working: Arrangements of the letters of a given word
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Common Mistakes: Arrangements restricted at the first or the last place
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Worked Example: The difference between a permutation and a combination
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Show All Working: Counting the handshakes, or the lines joining n points
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Practice: The compound angle formula for cosine of A minus B
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Explain Back: The compound angle formula for tan of A plus B
I have just studied the compound angle formula for tan of A plus B in my SS3 Further Mathe
Show All Working: The half angle formulae and the t-substitution
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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha
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Practice: Solving an equation of the form sin of 2x equals a given value
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Show All Working: Solving a cos x plus b sin x equals c by the R method
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