514 prompts matching "Solving a quadratic whose discriminant is negative"
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Common Mistakes: Distributivity on a set of three elements
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Final Revision: Why distributivity links two operations rather than one
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Learn: What an identity element is
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Explain Back: What an inverse element is
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Common Mistakes: Checking an inverse by working the operation both ways
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Practice: The law for a power raised to another power
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Explain Back: The law for a product raised to a power
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Spot My Mistake: The law for a quotient raised to a power
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Common Mistakes: Why the index laws need the bases to match
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Learn: Why any non-zero number to the power nought is one
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Worked Example: Rewriting a negative index as a fraction
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Quiz: A negative index on a fraction, and turning it upside down
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Common Mistakes: Writing a root as a fractional index before simplifying
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Quiz: An indicial equation that becomes a quadratic in a power
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Practice: Solving 2 to the power x equals 32
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Common Mistakes: An indicial equation solved by substitution
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Common Mistakes: Reading a logarithm from a table
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Final Revision: The characteristic and the mantissa of a logarithm
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Common Mistakes: Rejecting a root that makes a logarithm undefined
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Learn: What a sequence is, and what a term means
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