883 prompts matching "Proving that a quadratic expression is positive for every real x"
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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 magnitude of the vector (3,4)
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Worked example: find a+b where a=(2,-1) and b=(-3,5)
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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: find 2a-3b where a=(4,1) and b=(-2,3)
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Worked example: how many ways can 5 books be arranged on a shelf
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Worked example: how many ways can a president and secretary be chosen from 8 people
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Worked example: how many ways can a committee of 4 be chosen from 10 people
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Worked example: in how many ways can 6 people be seated around a circular table
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Real-life application of completing the square
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Real-life application of polynomials
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Real-life application of the remainder theorem
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Real-life application of cubic equations
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Real-life application of propositional logic
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Real-life application of truth tables
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Real-life application of permutations
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Real-life application of combinations
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