1,319 prompts matching "Practice: Rationalising a denominator with a whole number multiplying the surd"
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Common Mistakes: Solving an exponential equation using logarithms
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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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Explain Back: Finding alpha squared beta plus alpha beta squared
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Worked Example: Evaluating a polynomial by substitution
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Show All Working: Solving a cubic equation by factorisation
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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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Explain Back: Solving an inequality that involves a modulus
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Show All Working: Solving a pair of simultaneous linear inequalities
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Common Mistakes: Selections in which at least one of a kind must appear
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Worked Example: Solving cos x equals a negative value, and finding both solutions
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Explain Back: Solving a quadratic in sin x
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Common Mistakes: Identifying a conic from a general second-degree equation
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Show All Working: Replacing two parallel forces by a single resultant
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Explain Back: A particle on a rough table connected to a hanging particle
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Explain Back: A car on a banked track
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Show All Working: A mass on a spring performing simple harmonic motion
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