1,043 prompts matching "Clearing the denominators before comparing coefficients"
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Show All Working: Choosing between factorising and the formula
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Common Mistakes: A sign error in the formula, and how to catch it
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Final Revision: A word problem solved with the quadratic formula
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Worked Example: The product of the roots as c over a
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WAEC Prep: Checking the sum and product against the solved roots
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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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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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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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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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Worked Example: Substituting into the quadratic and tidying up
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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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Show All Working: A simultaneous pair in which the second equation is a circle
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Worked Example: The discriminant used as the test for intersection
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Practice: The condition for the line to be a tangent
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Explain Back: The condition for the line never to meet the curve
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Spot My Mistake: Finding the values of c for which a line is a tangent
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