1,299 prompts matching "Checking an indicial solution by substitution"
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Common Mistakes: Showing that intersection distributes over union
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Worked Example: Testing whether a binary operation is closed on a given set
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Quiz: Testing a binary operation for commutativity
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Practice: Testing a binary operation for associativity
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Worked Example: Collecting like surds in a single sum
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Practice: Rationalising a denominator of the form root a
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Spot My Mistake: Squaring a bracket that contains a surd
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WAEC Prep: Comparing the sizes of two surds without a calculator
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Final Revision: Proving that root 2 is irrational
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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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Quiz: Forming a quadratic equation whose roots are given
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Practice: The condition for a quadratic equation to have equal roots
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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original
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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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Common Mistakes: Symmetric functions when the three roots of a cubic are involved
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Practice: Factorising a cubic completely once one factor is known
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Spot My Mistake: The factor theorem for a divisor of the form ax minus b
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