1,323 prompts matching "Completing the square with a fractional coefficient of x"
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Final revision: my three hardest Further Maths topics
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Worked Example: Testing whether a binary operation is closed on a given set
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Practice: The condition for a quadratic equation to have equal roots
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Practice: Finding alpha minus beta from the sum and the product
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Worked Example: Solving a quadratic inequality by sketching the parabola
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Explain Back: Arrangements in which two particular objects must stay together
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Worked Example: The difference between a permutation and a combination
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Worked Example: The midpoint formula applied to a given segment
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Explain Back: Deciding whether a point lies inside, on or outside a circle
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Practice: The ellipse in standard form, and its two axes
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Practice: The mean deviation from the mean
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Worked Example: The sign convention for clockwise and anticlockwise moments
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Worked Example: Relative velocity when two bodies move along the same line
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Explain Back: The course to steer so that a boat crosses straight over
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Worked Example: The normal reaction on a body resting on a smooth incline
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Practice: The frictional force on a body on a rough incline
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Practice: The maximum speed and the maximum acceleration in simple harmonic motion
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Explain Back: The displacement written as x equals a sin omega t
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Worked Example: The tension in a stretched elastic string
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Practice: The difference between an elastic string and a spring in compression
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