1,051 prompts matching "Roots that are reciprocals of one another"
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Show All Working: Solving an equation written in terms of a binary operation
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Learn: Simplifying a surd by extracting the largest perfect square
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Spot My Mistake: Squaring a bracket that contains a surd
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Explain Back: The laws of logarithms for a product and for a quotient
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Spot My Mistake: The power law of logarithms
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Final Revision: Sketching the graph of a logarithmic function
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Worked Example: The discriminant, and what each of its three cases means
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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Learn: Finding alpha squared plus beta squared from the sum and product
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Explain Back: Finding alpha squared beta plus alpha beta squared
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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial
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Spot My Mistake: The factor theorem for a divisor of the form ax minus b
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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis
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Spot My Mistake: The relations between roots and coefficients for a quartic
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Explain Back: Solving an inequality that involves a modulus
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Spot My Mistake: Showing the solution of an inequality on a number line
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Show All Working: Solving a pair of simultaneous linear inequalities
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Common Mistakes: The range of values of x for which an expression stays positive
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Final Revision: The region of the plane satisfying a set of linear inequalities
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Worked Example: The number of arrangements of n different objects in a row
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