1,334 prompts matching "Surd answers in area and perimeter questions"
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Final Revision: Proving that root 2 is irrational
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Common Mistakes: Solving an exponential equation using logarithms
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Final Revision: Sketching the graph of a logarithmic function
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Learn: The sum and the product of the roots read from the coefficients
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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Final Revision: Solving a disguised quadratic by substitution
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Common Mistakes: Symmetric functions when the three roots of a cubic are involved
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Practice: Factorising a cubic completely once one factor is known
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Practice: Finding the third root of a cubic when two are known
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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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Practice: Solving an inequality with the unknown in the denominator
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Final Revision: The region of the plane satisfying a set of linear inequalities
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Final Revision: Counting the number plates or codes that can be formed under a rule
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Practice: Choosing a committee that must contain one particular person
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Common Mistakes: Selections in which at least one of a kind must appear
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Learn: The Pythagorean identity, sin squared plus cos squared equals one
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Worked Example: The identities for one plus tan squared and one plus cot squared
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Practice: The compound angle formula for cosine of A minus B
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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha
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