1,043 prompts matching "Practice: What a singular coefficient matrix says about the equations"
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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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Final Revision: Why completing the square always works
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Worked Example: Substituting a, b and c into the quadratic formula correctly
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Quiz: A negative value of b in the quadratic formula
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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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Quiz: Finding the sum and the product without solving the equation
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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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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Quiz: The value of one over alpha squared plus one over beta 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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Quiz: Solving the quadratic that results from the substitution
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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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