790 prompts matching "Solve 4x^2 - 12x + 5 = 0 with full exam working"
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Learn: Making the coefficient of x squared equal to one first
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Quiz: Completing the square on x squared plus 6x
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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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Learn: Deriving the quadratic formula by completing the square
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Quiz: A negative value of b in the quadratic formula
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Practice: Giving the roots correct to two decimal places
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Spot My Mistake: What the formula gives when the discriminant is nought
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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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