1,334 prompts matching "Use the quadratic formula on 4x^2 - 4x - 3 = 0"
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Practice: Rationalising a denominator of the form root a
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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate
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Common Mistakes: Solving an equation in which the unknown sits under a root
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Quiz: Solving an index equation by writing both sides to the same base
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Show All Working: Solving a logarithmic equation and rejecting the invalid root
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Final Revision: Sketching the graph of a logarithmic function
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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original
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WAEC Prep: Forming an equation whose roots are each two more than the original
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Show All Working: Finding a coefficient given a stated relation between the roots
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Common Mistakes: Symmetric functions when the three roots of a cubic are involved
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Final Revision: Checking a symmetric-function answer by solving the equation outright
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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis
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Spot My Mistake: The relations between roots and coefficients for a quartic
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Final Revision: Checking that the roots found satisfy the original equation
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Spot My Mistake: Showing the solution of an inequality on a number line
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Common Mistakes: The range of values of x for which an expression stays positive
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Final Revision: The region of the plane satisfying a set of linear inequalities
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Common Mistakes: Arrangements restricted at the first or the last place
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Final Revision: Counting the number plates or codes that can be formed under a rule
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Worked Example: The difference between a permutation and a combination
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