669 prompts matching "Structured question: prove a trigonometric identity"
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Common Mistakes: Checking a completed square by expanding it again
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Final Revision: Why completing the square always works
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Learn: Deriving the quadratic formula by completing the square
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Worked Example: Substituting a, b and c into the quadratic formula correctly
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Quiz: A negative value of b in the quadratic formula
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Practice: Giving the roots correct to two decimal places
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Explain Back: Leaving the roots of a quadratic in surd form
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Spot My Mistake: What the formula gives when the discriminant is nought
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WAEC Prep: What the formula gives when the discriminant is negative
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Show All Working: Choosing between factorising and the formula
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Common Mistakes: A sign error in the formula, and how to catch it
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Final Revision: A word problem solved with the quadratic formula
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Learn: The sum of the roots as minus b over a
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Worked Example: The product of the roots as c over a
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Quiz: Finding the sum and the product without solving the equation
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Practice: Forming an equation from a given sum and product
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Explain Back: Finding a missing coefficient from a stated sum of roots
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Spot My Mistake: Finding a missing coefficient from a stated product of roots
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WAEC Prep: Checking the sum and product against the solved roots
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Show All Working: Roots equal in magnitude but opposite in sign
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