1,043 prompts matching "Changing the subject when the variable appears twice"
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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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Final Revision: Why completing the square always works
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Learn: Deriving the quadratic formula by completing the square
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Worked Example: Substituting a, b and c into the quadratic formula correctly
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Practice: Giving the roots correct to two decimal places
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Explain Back: Leaving the roots of a quadratic in surd form
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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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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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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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Learn: What makes an expression in the roots symmetric
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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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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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