712 prompts matching "why a line tangent to a curve gives equal roots"
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Final Revision: Checking a conjugate answer by multiplying back
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Worked Example: Squaring both sides safely when solving a surd equation
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Practice: Solving an equation with a surd on each side
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Worked Example: Reading the symbol used for a binary operation
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Practice: A binary operation set out as a table
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Worked Example: Testing the even numbers for closure under addition
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Practice: Testing a set for closure under multiplication
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Practice: An operation that is not commutative, with a counter-example
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Worked Example: Testing whether star distributes over plus
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Practice: Multiplication distributing over addition in ordinary arithmetic
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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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Worked Example: The law for multiplying powers of the same base
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Final Revision: Evaluating a numerical expression using the index laws
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Worked Example: Rewriting a negative index as a fraction
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Final Revision: Converting an answer back out of index form
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Final Revision: Checking an indicial solution by substitution
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Worked Example: Writing an index statement as a logarithm
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Final Revision: The characteristic and the mantissa of a logarithm
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Worked Example: The law for the logarithm of a quotient
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Final Revision: Proving a logarithmic identity from the laws
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