737 prompts matching "Structured question: quadratic formula question with a negative discriminant"
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Show All Working: Deciding whether two given surds are equal without a calculator
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Practice: Rationalising a denominator with a whole number multiplying the surd
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Learn: Solving an equation with a single square root term
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Practice: Solving an equation with a surd on each side
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Practice: An operation that is not commutative, with a counter-example
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Show All Working: An element with no inverse under a given operation
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Show All Working: Simplifying an expression with letters and indices
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Worked Example: Rewriting a negative index as a fraction
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Practice: A fractional index with numerator one, read as a root
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Explain Back: A fractional index with a numerator above one
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Explain Back: An indicial equation with the unknown in the exponent on both sides
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Common Mistakes: A logarithmic equation that becomes a quadratic
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Practice: Finding the nth term of a quadratic sequence
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Worked Example: The alternative sum formula that uses the last term
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Common Mistakes: Proving the sum formula by pairing the terms
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Show All Working: A geometric progression with a fractional common ratio
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Worked Example: Which form of the sum formula to use when r is less than one
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Practice: Reversing the sign when multiplying by a negative number
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Worked Example: The critical values of a quadratic inequality
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Practice: Using a table of signs to solve a quadratic inequality
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