1,326 prompts matching "Quiz: The value of one over alpha squared plus one over beta squared"
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Learn: Simplifying a surd by extracting the largest perfect square
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Show All Working: Expressing a number in the form a root b
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Common Mistakes: Solving an equation in which the unknown sits under a root
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Show All Working: Solving a logarithmic equation and rejecting the invalid root
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Show All Working: Solving a quadratic by completing the square
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Show All Working: Finding a coefficient given a stated relation between the roots
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Practice: Factorising a cubic completely once one factor is known
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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial
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Spot My Mistake: The relations between roots and coefficients for a quartic
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Learn: Solving a linear inequality, and reversing the sign on dividing by a negative
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Worked Example: Solving a quadratic inequality by sketching the parabola
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Show All Working: Solving a pair of simultaneous linear inequalities
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Explain Back: Arrangements in which two particular objects must stay together
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WAEC Prep: Circular permutations of n objects round a table
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Common Mistakes: Arrangements restricted at the first or the last place
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Worked Example: The difference between a permutation and a combination
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Practice: Choosing a committee that must contain one particular person
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Spot My Mistake: The identity that n choose r equals n choose n minus r
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Show All Working: Counting the handshakes, or the lines joining n points
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Spot My Mistake: The double angle formula for sine
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