756 prompts matching "Solving a cubic that must first be rearranged"
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Final Revision: Proving that root 2 is irrational
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Quiz: Solving an index equation by writing both sides to the same base
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Practice: Converting between index form and logarithm form
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Show All Working: Solving a logarithmic equation and rejecting the invalid root
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Common Mistakes: Solving an exponential equation using logarithms
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Show All Working: Solving a quadratic by completing the square
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Final Revision: Solving a disguised quadratic by substitution
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Practice: Finding alpha minus beta from the sum and the product
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Show All Working: Finding a coefficient given a stated relation between the roots
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Common Mistakes: Symmetric functions when the three roots of a cubic are involved
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Final Revision: Checking a symmetric-function answer by solving the equation outright
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Practice: Factorising a cubic completely once one factor is known
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Learn: The sum of the roots of a cubic read from its coefficients
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Worked Example: The sum of the products of the roots of a cubic taken two at a time
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Quiz: The product of the roots of a cubic
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Practice: Finding the third root of a cubic when two are known
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Show All Working: Three roots in arithmetic progression in a cubic
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Common Mistakes: Three roots in geometric progression in a cubic
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Final Revision: Checking that the roots found satisfy the original equation
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Learn: Solving a linear inequality, and reversing the sign on dividing by a negative
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