1,045 prompts matching "A particle hanging in equilibrium on an elastic string"
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Practice: Forming an equation from a given sum and product
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Final Revision: One root twice the other, and what that gives
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Learn: What makes an expression in the roots symmetric
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WAEC Prep: Forming an equation whose roots are alpha plus one and beta plus one
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Show All Working: Forming an equation whose roots are three alpha and three beta
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Common Mistakes: A symmetric function needing the sum and product twice over
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Final Revision: Using a symmetric function to find an unknown coefficient
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Spot My Mistake: A pair with equal roots, meaning one solution only
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Show All Working: A simultaneous pair in which the second equation is a circle
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Common Mistakes: A word problem giving one linear and one quadratic equation
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Worked Example: The discriminant used as the test for intersection
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Practice: The condition for the line to be a tangent
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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Final Revision: A word problem about a line and a parabola
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Quiz: The leading term and the constant term
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Common Mistakes: Multiplying one polynomial by another
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Explain Back: A division that leaves a constant remainder
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Common Mistakes: The degree of the quotient and of the remainder
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Common Mistakes: Factorising fully, and knowing when to stop
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Final Revision: Checking a factorisation by expanding it again
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