1,326 prompts matching "Quiz: The value of one over alpha squared plus one over beta squared"
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Common Mistakes: A binary operation defined by arithmetic modulo n
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Worked Example: Collecting like surds in a single sum
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Spot My Mistake: Squaring a bracket that contains a surd
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Worked Example: Simplifying an expression carrying both a negative and a fractional index
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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Worked Example: Evaluating a polynomial by substitution
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Show All Working: Solving a cubic equation by factorisation
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Common Mistakes: Adding, subtracting and multiplying two polynomials
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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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Spot My Mistake: Arrangements in which two particular objects must be kept apart
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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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Show All Working: Replacing two parallel forces by a single resultant
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Spot My Mistake: An aeroplane in a cross-wind, and its resultant track
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Explain Back: A particle on a rough table connected to a hanging particle
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Learn: Angular velocity, and how it relates to linear speed
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