801 prompts matching "Solve 2x^2 - 5x - 12 = 0 with full exam working"
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Learn: The sum of the roots as minus b over a
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Practice: Forming an equation from a given sum and product
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Spot My Mistake: Finding a missing coefficient from a stated product of roots
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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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Quiz: The value of one over alpha squared plus one over beta squared
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Practice: The value of alpha to the fourth plus beta to the fourth
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Spot My Mistake: The value of alpha over beta plus beta over alpha
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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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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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Final Revision: Checking both solutions in both equations
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Learn: Forming the quadratic that decides where a line meets a curve
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Quiz: The condition for two points of intersection
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Practice: The condition for the line to be a tangent
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Spot My Mistake: Finding the values of c for which a line is a tangent
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Final Revision: A word problem about a line and a parabola
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Learn: What makes an expression a polynomial
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Quiz: The leading term and the constant term
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