1,242 prompts matching "Using change of base to prove a stated relation"
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Worked Example: Collecting like surds in a single sum
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Quiz: Multiplying two surds and simplifying the result
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Spot My Mistake: Squaring a bracket that contains a surd
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Show All Working: Expressing a number in the form a root b
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Common Mistakes: Solving an equation in which the unknown sits under a root
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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 logarithmic equation and rejecting the invalid root
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Quiz: Forming a quadratic equation whose roots are given
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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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Learn: Finding alpha squared plus beta squared from the sum and product
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Worked Example: Finding one over alpha plus one over beta
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Quiz: Finding alpha cubed plus beta cubed
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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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Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared
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Worked Example: Evaluating a polynomial by substitution
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Common Mistakes: Adding, subtracting and multiplying two polynomials
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Explain Back: Forming a cubic equation whose three roots are given
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