1,041 prompts matching "Writing a binary operation rule from a description in words"
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Spot My Mistake: Completing the square when the roots are not real
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WAEC Prep: The minimum value of a quadratic found by completing the square
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Show All Working: Completing the square with a fractional coefficient of x
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Common Mistakes: Checking a completed square by expanding it again
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Worked Example: Substituting a, b and c into the quadratic formula correctly
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Spot My Mistake: What the formula gives when the discriminant is nought
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WAEC Prep: What the formula gives when the discriminant is negative
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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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WAEC Prep: Checking the sum and product against the solved roots
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Show All Working: Roots equal in magnitude but opposite in sign
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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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WAEC Prep: Forming an equation whose roots are alpha plus one and beta plus one
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Show All Working: Forming an equation whose roots are three alpha and three beta
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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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Spot My Mistake: A pair with equal roots, meaning one solution only
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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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Spot My Mistake: Finding the values of c for which a line is a tangent
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