1,334 prompts matching "An indicial equation with the unknown in the exponent on both sides"
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Practice: Rationalising a denominator of the form root a
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Show All Working: Expressing a number in the form a root b
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Worked Example: Simplifying an expression carrying both a negative and a fractional index
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Practice: Converting between index form and logarithm form
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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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Common Mistakes: Symmetric functions when the three roots of a cubic are involved
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Common Mistakes: Adding, subtracting and multiplying two polynomials
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Practice: Finding the third root of a cubic when two are known
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Explain Back: Forming a cubic equation whose three roots are given
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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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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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Practice: Arrangements when some of the objects are identical
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Common Mistakes: Arrangements restricted at the first or the last place
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Explain Back: Choosing a committee with a stated number from each of two groups
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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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Worked Example: Solving cos x equals a negative value, and finding both solutions
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