1,321 prompts matching "Why root 8 and root 2 turn out to be similar"
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Worked Example: The discriminant, and what each of its three cases means
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Quiz: Forming a quadratic equation whose roots are given
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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original
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Final Revision: Checking a symmetric-function answer by solving the equation outright
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Learn: The sum of the roots of a cubic read from its coefficients
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Worked Example: The sum of the products of the roots of a cubic taken two at a time
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Quiz: The product of the roots of a cubic
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Final Revision: Checking that the roots found satisfy the original equation
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Worked Example: The identities for one plus tan squared and one plus cot squared
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Worked Example: Solving cos x equals a negative value, and finding both solutions
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Worked Example: The shape, period and range of the cosine curve
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Worked Example: The equation of a circle with a given centre and radius
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Worked Example: The sign convention for clockwise and anticlockwise moments
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Worked Example: The amplitude, period and frequency of a simple harmonic motion
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Spot my mistake: Assuming a quadratic with a negative discriminant has no roots at all
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Spot my mistake: Leaving out the constant of integration when velocity is found from acceleration
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Factorising an expression with a common algebraic bracket factor
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Simplifying algebraic fractions that need factorising a quadratic first
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What a function is and function notation
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Mapping diagrams and function types
I am in SS 3. I'm going to explain how a mapping diagram represents a function, and identi