1,044 prompts matching "When the matrix method is worth the work for three unknowns"
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Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)
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Worked example: find the equation of a circle with centre (2,-1) and radius 4
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Worked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0
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Worked example: find the modulus and argument of 3+4i
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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers
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Worked example: find the magnitude of the vector (3,4)
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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product
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Worked example: find the unit vector in the direction of (6,8)
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Worked Example: Factorising a quadratic whose leading coefficient is not one
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Show All Working: Completing the square with a fractional coefficient of x
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Spot My Mistake: The value of alpha over beta plus beta over alpha
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Worked Example: Testing a list of candidates to find a factor
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Spot My Mistake: The factor theorem applied to a quartic
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Show All Working: What the factor theorem says about the roots
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Worked Example: Factorising a cubic into a linear and a quadratic factor
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Practice: Factorising a quartic as the product of two quadratics
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Show All Working: Factorising a polynomial with fractional roots
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Spot My Mistake: The negation of a proposition
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Show All Working: Translating an English sentence into logical symbols
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Quiz: Disjunction and the inclusive or
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