1,043 prompts matching "Express x^2 + 5x + 1 in completed-square form"
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Learn: The sum of the roots as minus b over a
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Quiz: Finding the sum and the product without solving the equation
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Explain Back: Finding a missing coefficient from a stated sum of roots
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Spot My Mistake: Finding a missing coefficient from a stated product of roots
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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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Final Revision: One root twice the other, and what that gives
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Common Mistakes: A symmetric function needing the sum and product twice over
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Final Revision: Using a symmetric function to find an unknown coefficient
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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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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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Common Mistakes: A word problem giving one linear and one quadratic equation
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Final Revision: Checking both solutions in both equations
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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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