1,043 prompts matching "The general form ax plus by plus c equals nought"
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Worked Example: Halving the coefficient of x and squaring it
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Spot My Mistake: Completing the square when the roots are not real
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Final Revision: Why completing the square always works
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Practice: Giving the roots correct to two decimal places
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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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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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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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Explain Back: The value of alpha minus beta, all squared
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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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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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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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Worked Example: The discriminant used as the test for intersection
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Quiz: The condition for two points of intersection
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