1,186 prompts matching "IGCSE Additional Maths Y10: A simultaneous pair with no real solution — Spot My"
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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Worked Example: Finding one over alpha plus one over beta
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Practice: Finding alpha minus beta from the sum and the product
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Explain Back: Finding alpha squared beta plus alpha beta squared
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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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Show All Working: Solving a cubic equation by factorisation
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Worked Example: The sum of the products of the roots of a cubic taken two at a time
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Explain Back: Forming a cubic equation whose three roots are given
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Show All Working: Three roots in arithmetic progression in a cubic
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Common Mistakes: Three roots in geometric progression in a cubic
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Worked Example: Solving a quadratic inequality by sketching the parabola
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Explain Back: Solving an inequality that involves a modulus
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Common Mistakes: The range of values of x for which an expression stays positive
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Worked Example: The number of arrangements of n different objects in a row
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Practice: Arrangements when some of the objects are identical
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Explain Back: Arrangements in which two particular objects must stay together
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Show All Working: Arrangements of the letters of a given word
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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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