851 prompts matching "solving a quadratic with complex roots"
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Common Mistakes: Solving an exponential equation using logarithms
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Explain Back: The range of values of k for which the roots are real
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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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Common Mistakes: Symmetric functions when the three roots of a cubic are involved
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Show All Working: Solving a cubic equation by factorisation
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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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Explain Back: Forming a cubic equation whose three roots are given
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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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Explain Back: Solving an inequality that involves a modulus
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Show All Working: Solving a pair of simultaneous linear inequalities
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Explain Back: Choosing a committee with a stated number from each of two groups
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Final Revision: Combinations used with the addition and multiplication principles
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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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Show All Working: Solving a cos x plus b sin x equals c by the R method
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Practice: The equation of a line through a point with a given gradient
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Learn: The equation of a circle with its centre at the origin
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