1,334 prompts matching "Teach me the completing the square when the coefficient of x squared is one"
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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Final Revision: Solving a disguised quadratic by substitution
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Quiz: Finding alpha cubed plus beta cubed
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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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Quiz: Solving a quadratic inequality using a sign table
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Final Revision: Proving an identity by working on one side only
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Learn: Solving sin x equals a given value between 0 and 360 degrees
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Spot My Mistake: Solving an equation by first applying a Pythagorean identity
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Final Revision: Losing solutions by dividing through by cos x
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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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Learn: Two particles joined by a light inextensible string over a smooth pulley
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Learn: Angular velocity, and how it relates to linear speed
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Show All Working: A mass on a spring performing simple harmonic motion
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Final Revision: Showing that a given motion is simple harmonic
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Spot My Mistake: A particle hanging in equilibrium on an elastic string
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Spot my mistake: Assuming multiplying a vector by a negative scalar leaves its magnitude negative
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Spot my mistake: Treating any vector with small components as a unit vector
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