901 prompts matching "Coordinate geometry involving a right-angle condition to find x"
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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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Practice: Forming an equation from a given sum and product
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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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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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Explain Back: Writing the answers as ordered pairs
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Spot My Mistake: A pair with equal roots, meaning one solution only
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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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Worked Example: The discriminant used as the test for intersection
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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