755 prompts matching "What the formula gives when the discriminant is negative"
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Common Mistakes: A binary operation that is ordinary addition in disguise
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Quiz: Testing the odd numbers for closure under addition
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Spot My Mistake: Reading closure off an operation table
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Show All Working: Showing a set is not closed by a single counter-example
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Common Mistakes: Closure on a set of three elements under a stated rule
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Worked Example: Testing a*b against b*a for a given rule
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Explain Back: What it means for an operation to be associative
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Spot My Mistake: Testing (a*b)*c against a*(b*c)
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Show All Working: An operation that is associative but not commutative
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Show All Working: Using distributivity to simplify an expression
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Common Mistakes: Distributivity on a set of three elements
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Quiz: Finding the identity element from an operation table
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Quiz: The law for dividing powers of the same base
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Worked Example: Rewriting a negative index as a fraction
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Show All Working: Simplifying an expression that mixes the index types
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Common Mistakes: Writing a root as a fractional index before simplifying
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Final Revision: Converting an answer back out of index form
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Worked Example: Solving an indicial equation where one side must be factorised first
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Practice: Solving 2 to the power x equals 32
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Explain Back: An indicial equation with the unknown in the exponent on both sides
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