1,325 prompts matching "A word problem solved with the quadratic formula"
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Worked Example: The discriminant, and what each of its three cases means
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Practice: Finding alpha minus beta from the sum and the product
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Show All Working: Finding a coefficient given a stated relation between the roots
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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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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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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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Worked Example: The identities for one plus tan squared and one plus cot squared
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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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Common Mistakes: Giving the general solution of a trigonometric equation
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Worked Example: The shape, period and range of the cosine curve
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Practice: The effect of a in y equals a sin x
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Show All Working: Reading the solutions of a trigonometric equation off a graph
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