1,043 prompts matching "Expanding a bracket raised to the power six"
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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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Explain Back: The value of alpha minus beta, all 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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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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