1,051 prompts matching "Roots that are reciprocals of one another"
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Learn: The multiplication and division laws of indices used together
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Show All Working: Solving a logarithmic equation and rejecting the invalid root
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Common Mistakes: Solving an exponential equation using logarithms
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Show All Working: Solving a quadratic by completing the square
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Show All Working: Finding a coefficient given a stated relation between the roots
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Learn: The degree of a polynomial and its leading coefficient
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Show All Working: Three roots in arithmetic progression in a cubic
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Common Mistakes: Three roots in geometric progression in a cubic
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Learn: The meaning of n factorial, and how to evaluate it
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Final Revision: Counting the number plates or codes that can be formed under a rule
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Learn: The meaning of n choose r, and how to evaluate it
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Learn: The shape, period and range of the sine curve
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Learn: The equation of a circle with its centre at the origin
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Show All Working: The rectangular hyperbola xy equals c squared
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Final Revision: The focus-directrix definition shared by all the conics
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Learn: The range, and why it is a weak measure of spread
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Learn: The moment of a force about a point, and its units
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Common Mistakes: The work done against friction on an incline
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Learn: The defining equation of simple harmonic motion
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Final Revision: Showing that a given motion is simple harmonic
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