962 prompts matching "Cramer's rule applied to a pair with fractional coefficients"
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Worked Example: Substituting a, b and c into the quadratic formula correctly
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Practice: Giving the roots correct to two decimal places
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Show All Working: Choosing between factorising and the formula
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Common Mistakes: A sign error in the formula, and how to catch it
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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Practice: The value of alpha to the fourth plus beta to the fourth
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Worked Example: Substituting into the quadratic and tidying up
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Show All Working: A simultaneous pair in which the second equation is a circle
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Practice: The condition for the line to be a tangent
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Explain Back: The condition for the line never to meet the curve
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Show All Working: The point of contact when a line touches a curve
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Worked Example: Testing a list of candidates to find a factor
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Practice: Showing that x plus 3 is a factor of a given polynomial
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Show All Working: What the factor theorem says about the roots
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Common Mistakes: Using the factor theorem before dividing
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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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Common Mistakes: Factorising fully, and knowing when to stop
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Show All Working: Translating an English sentence into logical symbols
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Common Mistakes: Translating a symbolic statement back into English
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