1,334 prompts matching "Finding an unknown constant in a function from a given value"
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WAEC Prep: The change of base formula for logarithms
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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original
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Show All Working: Solving a quadratic by completing the square
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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Final Revision: Solving a disguised quadratic by substitution
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Worked Example: Evaluating a polynomial by substitution
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Spot My Mistake: The factor theorem for a divisor of the form ax minus b
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Show All Working: Solving a cubic equation by factorisation
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Spot My Mistake: The relations between roots and coefficients for a quartic
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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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Final Revision: Checking that the roots found satisfy the original equation
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Worked Example: Solving a quadratic inequality by sketching the parabola
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WAEC Prep: Writing a solution set in interval notation
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Common Mistakes: The range of values of x for which an expression stays positive
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Common Mistakes: Arrangements restricted at the first or the last place
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Spot My Mistake: The identity that n choose r equals n choose n minus r
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Common Mistakes: Selections in which at least one of a kind must appear
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Worked Example: The identities for one plus tan squared and one plus cot squared
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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha
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