1,045 prompts matching "Why the probabilities in a distribution must sum to one"
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Spot My Mistake: Completing the square when the roots are not real
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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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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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Final Revision: A word problem solved with the quadratic formula
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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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Practice: The value of alpha to the fourth plus beta to the fourth
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Explain Back: The value of alpha minus beta, all squared
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Final Revision: Using a symmetric function to find an unknown coefficient
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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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Explain Back: Writing the answers as ordered pairs
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Learn: Forming the quadratic that decides where a line meets a curve
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Worked Example: The discriminant used as the test for intersection
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Quiz: The condition for two points of intersection
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Spot My Mistake: Finding the values of c for which a line is a tangent
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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