625 prompts matching "A surd equation that has no real solution"
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Show All Working: Solving a quadratic by completing the square
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Learn: Finding alpha squared plus beta squared from the sum and 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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Learn: The sum of the roots of a cubic read from its coefficients
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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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Learn: Solving a linear inequality, and reversing the sign on dividing by a negative
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Show All Working: Solving a pair of simultaneous linear inequalities
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Common Mistakes: The range of values of x for which an expression stays positive
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Learn: The meaning of n factorial, and how to evaluate it
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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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Learn: The meaning of n choose r, and how to evaluate it
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Explain Back: Choosing a committee with a stated number from each of two groups
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Show All Working: Counting the handshakes, or the lines joining n points
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Common Mistakes: Selections in which at least one of a kind must appear
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Learn: The Pythagorean identity, sin squared plus cos squared equals one
You are my personal SS3 Further Mathematics tutor. Teach me the Pythagorean identity, sin