1,332 prompts matching "The difference of two squares applied to surd conjugates"
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Quiz: Forming a quadratic equation whose roots are given
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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Worked Example: Finding one over alpha plus one over beta
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Quiz: Finding alpha cubed plus beta cubed
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Worked Example: Evaluating a polynomial by substitution
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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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Quiz: Solving a quadratic inequality using a sign table
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Explain Back: Solving an inequality that involves a modulus
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Practice: Choosing a committee that must contain one particular person
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Learn: Solving sin x equals a given value between 0 and 360 degrees
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Worked Example: Solving cos x equals a negative value, and finding both solutions
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Explain Back: Solving a quadratic in sin x
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Spot My Mistake: Solving an equation by first applying a Pythagorean identity
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Common Mistakes: Identifying a conic from a general second-degree equation
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Spot My Mistake: An aeroplane in a cross-wind, and its resultant track
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Practice: A car rounding a bend on a level road
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Explain Back: A car on a banked track
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Show All Working: A mass on a spring performing simple harmonic motion
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