908 prompts matching "Using sets to test simple logical statements"
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Practice: Working through a quadratic by completing the square, step by step
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Spot My Mistake: Completing the square when the roots are not real
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Common Mistakes: Checking a completed square by expanding it again
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Learn: Deriving the quadratic formula by completing the square
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Quiz: A negative value of b in the quadratic formula
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Spot My Mistake: What the formula gives when the discriminant is nought
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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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Spot My Mistake: Finding a missing coefficient from a stated product of roots
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Common Mistakes: Roots that are reciprocals of one another
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Learn: What makes an expression in the roots symmetric
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Quiz: The value of one over alpha squared plus one over beta squared
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Spot My Mistake: The value of alpha over beta plus beta over alpha
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Common Mistakes: A symmetric function needing the sum and product twice over
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Learn: Making one unknown the subject of the linear equation
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Quiz: Solving the quadratic that results from the substitution
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Practice: Finding the matching value of the second unknown
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Spot My Mistake: A pair with equal roots, meaning one solution only
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