1,328 prompts matching "Practice: A cubic with one real root and two complex ones"
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Show All Working: Expressing a number in the form a root b
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Common Mistakes: Solving an equation in which the unknown sits under a root
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Worked Example: Simplifying an expression carrying both a negative and a fractional index
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Common Mistakes: Solving an exponential equation using logarithms
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Worked Example: The discriminant, and what each of its three cases means
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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Show All Working: Finding a coefficient given a stated relation between the roots
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Show All Working: Solving a cubic equation by factorisation
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Practice: Arrangements when some of the objects are identical
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Worked Example: The difference between a permutation and a combination
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WAEC Prep: Pascal's triangle and the combination numbers in it
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Common Mistakes: Selections in which at least one of a kind must appear
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Practice: The compound angle formula for cosine of A minus B
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Worked Example: Solving cos x equals a negative value, and finding both solutions
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Practice: Solving an equation of the form sin of 2x equals a given value
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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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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet
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Show All Working: Proving two given lines perpendicular from their gradients
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Common Mistakes: The angle between two lines found from their gradients
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