414 prompts matching "Proving two given lines parallel from their gradients"
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Practice: Working through a quadratic by completing the square, step by step
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Show All Working: Completing the square with a fractional coefficient of x
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Learn: Deriving the quadratic formula by completing the square
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Worked Example: Substituting a, b and c into the quadratic formula correctly
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Quiz: A negative value of b in the quadratic formula
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Show All Working: Choosing between factorising and the formula
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Learn: The sum of the roots as minus b over a
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Worked Example: The product of the roots as c over a
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Quiz: Finding the sum and the product without solving the equation
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Show All Working: Roots equal in magnitude but opposite in sign
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Learn: What makes an expression in the roots symmetric
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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Quiz: The value of one over alpha squared plus one over beta squared
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Practice: The value of alpha to the fourth plus beta to the fourth
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Show All Working: Forming an equation whose roots are three alpha and three beta
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Worked Example: Substituting into the quadratic and tidying up
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Practice: Finding the matching value of the second unknown
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Show All Working: A simultaneous pair in which the second equation is a circle
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Worked Example: The discriminant used as the test for intersection
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Learn: What makes an expression a polynomial
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