894 prompts matching "Deciding whether a number belongs to a given arithmetic progression"
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Practice: Working through a quadratic by completing the square, step by step
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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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Quiz: A negative value of b in the quadratic formula
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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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Common Mistakes: Roots that are reciprocals of one another
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Final Revision: One root twice the other, and what that gives
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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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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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Common Mistakes: A word problem giving one linear and one quadratic equation
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Final Revision: Checking both solutions in both equations
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Learn: Forming the quadratic that decides where a line meets a curve
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